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28314324 = 22322937733
BaseRepresentation
bin110110000000…
…0101011010100
31222021111221200
41230000223110
524222024244
62450512500
7462445023
oct154005324
958244850
1028314324
1114a89a75
129595730
135b3494c
143a908ba
152744669
hex1b00ad4

28314324 has 72 divisors (see below), whose sum is σ = 76145160. Its totient is φ = 8854272.

The previous prime is 28314323. The next prime is 28314331. The reversal of 28314324 is 42341382.

28314324 is a `hidden beast` number, since 28 + 314 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18766224 + 9548100 = 4332^2 + 3090^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28314323) 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, 38262 + ... + 38994.

Almost surely, 228314324 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 28314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38072580).

28314324 is an abundant number, since it is smaller than the sum of its proper divisors (47830836).

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

28314324 is a wasteful number, since it uses less digits than its factorization.

28314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 804 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 28314324 is about 5321.1205586793. The cubic root of 28314324 is about 304.7909487465.

The spelling of 28314324 in words is "twenty-eight million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 733 1044 1073 1332 1466 2146 2199 2932 3219 4292 4398 6438 6597 8796 9657 12876 13194 19314 21257 26388 27121 38628 42514 54242 63771 81363 85028 108484 127542 162726 191313 244089 255084 325452 382626 488178 765252 786509 976356 1573018 2359527 3146036 4719054 7078581 9438108 14157162 28314324