10828640 has 24 divisors (see below), whose sum is σ = 25583040. Its totient is φ = 4331392.

The previous prime is 10828627. The next prime is 10828667. The reversal of 10828640 is 4682801.

10828640 = T₂₈₅ + T₂₈₆ + ... + T₄₄₄.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33680 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 2^10828640 is an apocalyptic number.

10828640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10828640 is an abundant number, since it is smaller than the sum of its proper divisors (14754400).

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

10828640 is an equidigital number, since it uses as much as digits as its factorization.

10828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67694 (or 67686 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10828640 is about 3290.6898972708. The cubic root of 10828640 is about 221.2371075723.

The spelling of 10828640 in words is "ten million, eight hundred twenty-eight thousand, six hundred forty".