10288896 has 36 divisors (see below), whose sum is σ = 27385512. Its totient is φ = 3429376.

The previous prime is 10288879. The next prime is 10288903. The reversal of 10288896 is 69888201.

10288896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10288896² = 211722761797632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5931 + ... + 7466.

Almost surely, 2^10288896 is an apocalyptic number.

10288896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10288896 is an abundant number, since it is smaller than the sum of its proper divisors (17096616).

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

10288896 is an equidigital number, since it uses as much as digits as its factorization.

10288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13416 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 10288896 is about 3207.6309014598. The cubic root of 10288896 is about 217.4984964885.

It can be divided in two parts, 1028889 and 6, that added together give a triangular number (1028895 = T₁₄₃₄).

The spelling of 10288896 in words is "ten million, two hundred eighty-eight thousand, eight hundred ninety-six".