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28427520 = 283511673
BaseRepresentation
bin110110001110…
…0010100000000
31222111021020010
41230130110000
524234140040
62453144520
7463426032
oct154342400
958437203
1028427520
1115057020
12962b140
135b74324
143abdc52
152767e80
hex1b1c500

28427520 has 144 divisors (see below), whose sum is σ = 99191232. Its totient is φ = 6881280.

The previous prime is 28427513. The next prime is 28427543. The reversal of 28427520 is 2572482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41904 + ... + 42576.

It is an arithmetic number, because the mean of its divisors is an integer number (688828).

Almost surely, 228427520 is an apocalyptic number.

28427520 is a gapful number since it is divisible by the number (20) 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 28427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49595616).

28427520 is an abundant number, since it is smaller than the sum of its proper divisors (70763712).

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

28427520 is a wasteful number, since it uses less digits than its factorization.

28427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 28427520 is about 5331.7464305798. The cubic root of 28427520 is about 305.1965766716.

The spelling of 28427520 in words is "twenty-eight million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 673 704 768 880 960 1056 1280 1320 1346 1408 1760 1920 2019 2112 2640 2692 2816 3365 3520 3840 4038 4224 5280 5384 6730 7040 7403 8076 8448 10095 10560 10768 13460 14080 14806 16152 20190 21120 21536 22209 26920 29612 32304 37015 40380 42240 43072 44418 53840 59224 64608 74030 80760 86144 88836 107680 111045 118448 129216 148060 161520 172288 177672 215360 222090 236896 258432 296120 323040 355344 430720 444180 473792 516864 592240 646080 710688 861440 888360 947584 1184480 1292160 1421376 1776720 1895168 2368960 2584320 2842752 3553440 4737920 5685504 7106880 9475840 14213760 28427520