11902528 has 84 divisors (see below), whose sum is σ = 27363420. Its totient is φ = 5125120.

The previous prime is 11902519. The next prime is 11902571. The reversal of 11902528 is 82520911.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 4460544 = 2728^2 + 2112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11902496 and 11902505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224550 + ... + 224602.

It is an arithmetic number, because the mean of its divisors is an integer number (325755).

Almost surely, 2^11902528 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 11902528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681710).

11902528 is an abundant number, since it is smaller than the sum of its proper divisors (15460892).

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

11902528 is a wasteful number, since it uses less digits than its factorization.

11902528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 11902528 is about 3450.0040579686. The cubic root of 11902528 is about 228.3212870670.

Subtracting from 11902528 its sum of digits (28), we obtain a square (11902500 = 3450²).

The spelling of 11902528 in words is "eleven million, nine hundred two thousand, five hundred twenty-eight".