11492928 has 84 divisors (see below), whose sum is σ = 34208720. Its totient is φ = 3825792.

The previous prime is 11492917. The next prime is 11492941. The reversal of 11492928 is 82929411.

11492928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11492892 and 11492901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15183 + ... + 15921.

Almost surely, 2^11492928 is an apocalyptic number.

11492928 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 11492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104360).

11492928 is an abundant number, since it is smaller than the sum of its proper divisors (22715792).

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

11492928 is an frugal number, since it uses more digits than its factorization.

11492928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 744 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11492928 is about 3390.1221216941. The cubic root of 11492928 is about 225.6715933936.

The spelling of 11492928 in words is "eleven million, four hundred ninety-two thousand, nine hundred twenty-eight".