82124928 has 120 divisors (see below), whose sum is σ = 247179405. Its totient is φ = 27067392.

The previous prime is 82124863. The next prime is 82124929. The reversal of 82124928 is 82942128.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 8714304 = 8568^2 + 2952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6408.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 82124892 and 82124901.

It is not an unprimeable number, because it can be changed into a prime (82124929) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 922708 + ... + 922796.

Almost surely, 2^82124928 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 82124928

82124928 is an abundant number, since it is smaller than the sum of its proper divisors (165054477).

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

82124928 is an frugal number, since it uses more digits than its factorization.

82124928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82124928 is about 9062.2805076868. The cubic root of 82124928 is about 434.6686656454.

Multiplying 82124928 by its product of digits (18432), we get a square (1513726672896 = 1230336²).

The spelling of 82124928 in words is "eighty-two million, one hundred twenty-four thousand, nine hundred twenty-eight".