10628590 has 48 divisors (see below), whose sum is σ = 22572000. Its totient is φ = 3592512.

The previous prime is 10628573. The next prime is 10628591. The reversal of 10628590 is 9582601.

It is a super-2 number, since 2×10628590² = 225933850776200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53311 + ... + 53509.

It is an arithmetic number, because the mean of its divisors is an integer number (470250).

Almost surely, 2^10628590 is an apocalyptic number.

10628590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10628590 is an abundant number, since it is smaller than the sum of its proper divisors (11943410).

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

10628590 is a wasteful number, since it uses less digits than its factorization.

10628590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10628590 is about 3260.1518369548. The cubic root of 10628590 is about 219.8662410057.

The spelling of 10628590 in words is "ten million, six hundred twenty-eight thousand, five hundred ninety".