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28257936 = 2437372273
BaseRepresentation
bin110101111001…
…0111010010000
31222011122121020
41223302322100
524213223221
62445355440
7462121440
oct153627220
958148536
1028257936
1114a50673
129568b80
135b15095
143a78120
152732ac6
hex1af2e90

28257936 has 80 divisors (see below), whose sum is σ = 85720704. Its totient is φ = 7852032.

The previous prime is 28257907. The next prime is 28257937. The reversal of 28257936 is 63975282.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (28257937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11296 + ... + 13568.

Almost surely, 228257936 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 28257936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42860352).

28257936 is an abundant number, since it is smaller than the sum of its proper divisors (57462768).

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

28257936 is a wasteful number, since it uses less digits than its factorization.

28257936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2322 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 28257936 is about 5315.8194100251. The cubic root of 28257936 is about 304.5884838072.

The spelling of 28257936 in words is "twenty-eight million, two hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 2273 3108 4144 4546 6216 6819 9092 12432 13638 15911 18184 27276 31822 36368 47733 54552 63644 84101 95466 109104 127288 168202 190932 252303 254576 336404 381864 504606 588707 672808 763728 1009212 1177414 1345616 1766121 2018424 2354828 3532242 4036848 4709656 7064484 9419312 14128968 28257936