82537728 has 144 divisors (see below), whose sum is σ = 270592896. Its totient is φ = 21749760.

The previous prime is 82537673. The next prime is 82537739. The reversal of 82537728 is 82773528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 82537728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69298 + ... + 70478.

Almost surely, 2^82537728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135296448).

82537728 is an abundant number, since it is smaller than the sum of its proper divisors (188055168).

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

82537728 is a wasteful number, since it uses less digits than its factorization.

82537728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 82537728 is about 9085.0276829518. The cubic root of 82537728 is about 435.3957344739.

The spelling of 82537728 in words is "eighty-two million, five hundred thirty-seven thousand, seven hundred twenty-eight".