82513728 has 140 divisors (see below), whose sum is σ = 267016992. Its totient is φ = 24986880.

The previous prime is 82513709. The next prime is 82513741. The reversal of 82513728 is 82731528.

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 = 82513692 and 82513701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56301 + ... + 57747.

Almost surely, 2^82513728 is an apocalyptic number.

82513728 is a gapful number since it is divisible by the number (88) 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 82513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133508496).

82513728 is an abundant number, since it is smaller than the sum of its proper divisors (184503264).

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

82513728 is a wasteful number, since it uses less digits than its factorization.

82513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1463 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82513728 is about 9083.7067323863. The cubic root of 82513728 is about 435.3535294894.

The spelling of 82513728 in words is "eighty-two million, five hundred thirteen thousand, seven hundred twenty-eight".