82982928 has 80 divisors (see below), whose sum is σ = 245984256. Its totient is φ = 23614080.

The previous prime is 82982927. The next prime is 82982929. The reversal of 82982928 is 82928928.

It is an interprime number because it is at equal distance from previous prime (82982927) and next prime (82982929).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82982923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164725 + ... + 165227.

Almost surely, 2^82982928 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 82982928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122992128).

82982928 is an abundant number, since it is smaller than the sum of its proper divisors (163001328).

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

82982928 is a wasteful number, since it uses less digits than its factorization.

82982928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 82982928 is about 9109.4965832366. The cubic root of 82982928 is about 436.1771577572.

The spelling of 82982928 in words is "eighty-two million, nine hundred eighty-two thousand, nine hundred twenty-eight".