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28087164 = 22327227491
BaseRepresentation
bin110101100100…
…1001101111100
31221211222100100
41223021031330
524142242124
62442001100
7460510530
oct153111574
957758310
1028087164
1114944336
1294a6190
135a85431
143a31bc0
1526ec1c9
hex1ac937c

28087164 has 72 divisors (see below), whose sum is σ = 81664128. Its totient is φ = 7973280.

The previous prime is 28087159. The next prime is 28087177. The reversal of 28087164 is 46178082.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56959 + ... + 57449.

It is an arithmetic number, because the mean of its divisors is an integer number (1134224).

Almost surely, 228087164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28087164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40832064).

28087164 is an abundant number, since it is smaller than the sum of its proper divisors (53576964).

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

28087164 is a wasteful number, since it uses less digits than its factorization.

28087164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28087164 is about 5299.7324460769. The cubic root of 28087164 is about 303.9736675022.

The spelling of 28087164 in words is "twenty-eight million, eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 491 681 908 982 1362 1473 1589 1964 2043 2724 2946 3178 3437 4086 4419 4767 5892 6356 6874 8172 8838 9534 10311 13748 14301 17676 19068 20622 28602 30933 41244 57204 61866 111457 123732 222914 334371 445828 668742 780199 1003113 1337484 1560398 2006226 2340597 3120796 4012452 4681194 7021791 9362388 14043582 28087164