10028832 has 48 divisors (see below), whose sum is σ = 28721952. Its totient is φ = 3038720.

The previous prime is 10028831. The next prime is 10028839. The reversal of 10028832 is 23882001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10028831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3693 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (598374).

Almost surely, 2^10028832 is an apocalyptic number.

10028832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10028832 is an abundant number, since it is smaller than the sum of its proper divisors (18693120).

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

10028832 is a wasteful number, since it uses less digits than its factorization.

10028832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10028832 is about 3166.8331184324. The cubic root of 10028832 is about 215.6503258638.

The spelling of 10028832 in words is "ten million, twenty-eight thousand, eight hundred thirty-two".