10132928 has 56 divisors (see below), whose sum is σ = 22829520. Its totient is φ = 4423680.

The previous prime is 10132921. The next prime is 10132943. The reversal of 10132928 is 82923101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10132897 and 10132906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15488 + ... + 16128.

It is an arithmetic number, because the mean of its divisors is an integer number (407670).

Almost surely, 2^10132928 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 10132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414760).

10132928 is an abundant number, since it is smaller than the sum of its proper divisors (12696592).

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

10132928 is a wasteful number, since it uses less digits than its factorization.

10132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10132928 is about 3183.2260365862. The cubic root of 10132928 is about 216.3938857759.

The spelling of 10132928 in words is "ten million, one hundred thirty-two thousand, nine hundred twenty-eight".