10928640 has 80 divisors (see below), whose sum is σ = 34962048. Its totient is φ = 2912256.

The previous prime is 10928639. The next prime is 10928641. The reversal of 10928640 is 4682901.

It is an interprime number because it is at equal distance from previous prime (10928639) and next prime (10928641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10928598 and 10928607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6969 + ... + 8391.

Almost surely, 2^10928640 is an apocalyptic number.

10928640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481024).

10928640 is an abundant number, since it is smaller than the sum of its proper divisors (24033408).

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

10928640 is an equidigital number, since it uses as much as digits as its factorization.

10928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10928640 is about 3305.8493613593. The cubic root of 10928640 is about 221.9160464958.

The spelling of 10928640 in words is "ten million, nine hundred twenty-eight thousand, six hundred forty".