82988928 has 256 divisors, whose sum is σ = 279072000. Its totient is φ = 24053760.

The previous prime is 82988911. The next prime is 82988929.

82988928 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (82988929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406563 + ... + 1406621.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^82988928 is an apocalyptic number.

82988928 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 82988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

82988928 is an abundant number, since it is smaller than the sum of its proper divisors (196083072).

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

82988928 is a wasteful number, since it uses less digits than its factorization.

82988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 82988928 is about 9109.8259039347. The cubic root of 82988928 is about 436.1876699591.

The spelling of 82988928 in words is "eighty-two million, nine hundred eighty-eight thousand, nine hundred twenty-eight".