12792528 has 150 divisors (see below), whose sum is σ = 42894514. Its totient is φ = 3556224.

The previous prime is 12792523. The next prime is 12792547. The reversal of 12792528 is 82529721.

12792528 is a `hidden beast` number, since 127 + 9 + 2 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 345744 = 3528^2 + 588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12792492 and 12792501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792523) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345726 + ... + 345762.

Almost surely, 2^12792528 is an apocalyptic number.

12792528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12792528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447257).

12792528 is an abundant number, since it is smaller than the sum of its proper divisors (30101986).

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

12792528 is an equidigital number, since it uses as much as digits as its factorization.

12792528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12792528 is about 3576.6643678154. The cubic root of 12792528 is about 233.8758929878.

The spelling of 12792528 in words is "twelve million, seven hundred ninety-two thousand, five hundred twenty-eight".