10628024 has 64 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 4491520.

The previous prime is 10628017. The next prime is 10628027. The reversal of 10628024 is 42082601.

It is a super-2 number, since 2×10628024² = 225909788289152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628027) 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 15 ways as a sum of consecutive naturals, for example, 119372 + ... + 119460.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 2^10628024 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 10628024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

10628024 is an abundant number, since it is smaller than the sum of its proper divisors (12699976).

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

10628024 is a wasteful number, since it uses less digits than its factorization.

10628024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10628024 is about 3260.0650300262. The cubic root of 10628024 is about 219.8623381204.

The spelling of 10628024 in words is "ten million, six hundred twenty-eight thousand, twenty-four".