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28423584 = 2532723613
BaseRepresentation
bin110110001101…
…1010110100000
31222111001211100
41230123112200
524234023314
62453114400
7463411410
oct154332640
958431740
1028423584
1115054072
129628a00
135b725b7
143abc640
152766c09
hex1b1b5a0

28423584 has 144 divisors (see below), whose sum is σ = 96550272. Its totient is φ = 7755264.

The previous prime is 28423583. The next prime is 28423613. The reversal of 28423584 is 48532482.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×284235844 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28423583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46062 + ... + 46674.

It is an arithmetic number, because the mean of its divisors is an integer number (670488).

Almost surely, 228423584 is an apocalyptic number.

28423584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28423584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48275136).

28423584 is an abundant number, since it is smaller than the sum of its proper divisors (68126688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28423584 is a wasteful number, since it uses less digits than its factorization.

28423584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28423584 is about 5331.3773079759. The cubic root of 28423584 is about 305.1824904484.

The spelling of 28423584 in words is "twenty-eight million, four hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 613 644 672 736 828 966 1008 1104 1226 1288 1449 1656 1839 1932 2016 2208 2452 2576 2898 3312 3678 3864 4291 4904 5152 5517 5796 6624 7356 7728 8582 9808 11034 11592 12873 14099 14712 15456 17164 19616 22068 23184 25746 28198 29424 34328 38619 42297 44136 46368 51492 56396 58848 68656 77238 84594 88272 98693 102984 112792 126891 137312 154476 169188 176544 197386 205968 225584 253782 296079 308952 338376 394772 411936 451168 507564 592158 617904 676752 789544 888237 1015128 1184316 1235808 1353504 1579088 1776474 2030256 2368632 3158176 3552948 4060512 4737264 7105896 9474528 14211792 28423584