10657728 has 42 divisors (see below), whose sum is σ = 30550104. Its totient is φ = 3552384.

The previous prime is 10657723. The next prime is 10657733. The reversal of 10657728 is 82775601.

It is an interprime number because it is at equal distance from previous prime (10657723) and next prime (10657733).

It is a super-2 number, since 2×10657728² = 227174332243968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10657692 and 10657701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10657723) 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 5 ways as a sum of consecutive naturals, for example, 8676 + ... + 9827.

Almost surely, 2^10657728 is an apocalyptic number.

10657728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10657728 is an abundant number, since it is smaller than the sum of its proper divisors (19892376).

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

10657728 is a wasteful number, since it uses less digits than its factorization.

10657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18521 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10657728 is about 3264.6175886312. The cubic root of 10657728 is about 220.0669768527.

The spelling of 10657728 in words is "ten million, six hundred fifty-seven thousand, seven hundred twenty-eight".