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28167264 = 253410867
BaseRepresentation
bin110101101110…
…0110001100000
31222000001020000
41223130301200
524202323024
62443420000
7461263206
oct153346140
958001200
1028167264
1114999534
129524600
135ab2a28
143a53076
152715cc9
hex1adcc60

28167264 has 60 divisors (see below), whose sum is σ = 82846764. Its totient is φ = 9388224.

The previous prime is 28167263. The next prime is 28167277. The reversal of 28167264 is 46276182.

It is a super-2 number, since 2×281672642 = 1586789522491392, which contains 22 as substring.

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 (28167263) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2842 + ... + 8025.

Almost surely, 228167264 is an apocalyptic number.

28167264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28167264 is an abundant number, since it is smaller than the sum of its proper divisors (54679500).

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

28167264 is a wasteful number, since it uses less digits than its factorization.

28167264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10872 counting only the distinct ones).

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

The square root of 28167264 is about 5307.2840511885. The cubic root of 28167264 is about 304.2623543152.

The spelling of 28167264 in words is "twenty-eight million, one hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 10867 21734 32601 43468 65202 86936 97803 130404 173872 195606 260808 293409 347744 391212 521616 586818 782424 880227 1043232 1173636 1564848 1760454 2347272 3129696 3520908 4694544 7041816 9389088 14083632 28167264