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28515168 = 2532119001
BaseRepresentation
bin110110011000…
…1101101100000
31222122201110100
41230301231200
524244441133
62455102400
7464242413
oct154615540
958581410
1028515168
1115106960
129671a00
135ba51a6
143b03b7a
152783e13
hex1b31b60

28515168 has 72 divisors (see below), whose sum is σ = 88471656. Its totient is φ = 8640000.

The previous prime is 28515167. The next prime is 28515203. The reversal of 28515168 is 86151582.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×285151682 = 1626229612136448, 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 (28515167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1333 + ... + 7668.

It is an arithmetic number, because the mean of its divisors is an integer number (1228773).

Almost surely, 228515168 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 28515168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44235828).

28515168 is an abundant number, since it is smaller than the sum of its proper divisors (59956488).

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

28515168 is a wasteful number, since it uses less digits than its factorization.

28515168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9017 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 28515168 is about 5339.9595504086. The cubic root of 28515168 is about 305.5099165236.

The spelling of 28515168 in words is "twenty-eight million, five hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 9001 18002 27003 36004 54006 72008 81009 99011 108012 144016 162018 198022 216024 288032 297033 324036 396044 432048 594066 648072 792088 864096 891099 1188132 1296144 1584176 1782198 2376264 2592288 3168352 3564396 4752528 7128792 9505056 14257584 28515168