82728760 has 32 divisors (see below), whose sum is σ = 189656640. Its totient is φ = 32466304.

The previous prime is 82728757. The next prime is 82728787. The reversal of 82728760 is 6782728.

It is a super-2 number, since 2×82728760² = 13688095462275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17392 + ... + 21631.

It is an arithmetic number, because the mean of its divisors is an integer number (5926770).

Almost surely, 2^82728760 is an apocalyptic number.

It is an amenable number.

82728760 is an abundant number, since it is smaller than the sum of its proper divisors (106927880).

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

82728760 is a wasteful number, since it uses less digits than its factorization.

82728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39087 (or 39083 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 82728760 is about 9095.5351684219. The cubic root of 82728760 is about 435.7313807040.

The spelling of 82728760 in words is "eighty-two million, seven hundred twenty-eight thousand, seven hundred sixty".