82628664 has 32 divisors (see below), whose sum is σ = 209485440. Its totient is φ = 27154400.

The previous prime is 82628641. The next prime is 82628669. The reversal of 82628664 is 46682628.

It is a super-2 number, since 2×82628664² = 13654992228849792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82628669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22542 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (6546420).

Almost surely, 2^82628664 is an apocalyptic number.

It is an amenable number.

82628664 is an abundant number, since it is smaller than the sum of its proper divisors (126856776).

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

82628664 is a wasteful number, since it uses less digits than its factorization.

82628664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48571 (or 48567 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 82628664 is about 9090.0310230494. The cubic root of 82628664 is about 435.5555749726. Note that the first 4 decimals are identical.

The spelling of 82628664 in words is "eighty-two million, six hundred twenty-eight thousand, six hundred sixty-four".