82977928 has 48 divisors (see below), whose sum is σ = 178496640. Its totient is φ = 36067680.

The previous prime is 82977907. The next prime is 82977929.

82977928 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (82977929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20401 + ... + 24127.

It is an arithmetic number, because the mean of its divisors is an integer number (3718680).

Almost surely, 2^82977928 is an apocalyptic number.

82977928 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 82977928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89248320).

82977928 is an abundant number, since it is smaller than the sum of its proper divisors (95518712).

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

82977928 is a wasteful number, since it uses less digits than its factorization.

82977928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3763 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The square root of 82977928 is about 9109.2221402269. Note that the first 3 decimals coincide. The cubic root of 82977928 is about 436.1683972019.

The spelling of 82977928 in words is "eighty-two million, nine hundred seventy-seven thousand, nine hundred twenty-eight".