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28907424 = 25327131103
BaseRepresentation
bin110111001000…
…1011110100000
32000101122112100
41232101132200
524400014144
62511330400
7500465130
oct156213640
960348470
1028907424
1115354637
129820a00
135cb18b0
143ba6ac0
152810269
hex1b917a0

28907424 has 144 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 7617024.

The previous prime is 28907423. The next prime is 28907477. The reversal of 28907424 is 42470982.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28907423) 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, 25657 + ... + 26759.

It is an arithmetic number, because the mean of its divisors is an integer number (703248).

Almost surely, 228907424 is an apocalyptic number.

28907424 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 28907424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

28907424 is an abundant number, since it is smaller than the sum of its proper divisors (72360288).

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

28907424 is a wasteful number, since it uses less digits than its factorization.

28907424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28907424 is about 5376.5624705754. The cubic root of 28907424 is about 306.9044113130.

The spelling of 28907424 in words is "twenty-eight million, nine hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1103 1248 1456 1638 1872 2016 2184 2206 2912 3276 3309 3744 4368 4412 6552 6618 7721 8736 8824 9927 13104 13236 14339 15442 17648 19854 23163 26208 26472 28678 30884 35296 39708 43017 46326 52944 57356 61768 69489 79416 86034 92652 100373 105888 114712 123536 129051 138978 158832 172068 185304 200746 229424 247072 258102 277956 301119 317664 344136 370608 401492 458848 516204 555912 602238 688272 741216 802984 903357 1032408 1111824 1204476 1376544 1605968 1806714 2064816 2223648 2408952 3211936 3613428 4129632 4817904 7226856 9635808 14453712 28907424