82911928 has 64 divisors (see below), whose sum is σ = 179042400. Its totient is φ = 35642880.

The previous prime is 82911889. The next prime is 82911967.

82911928 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82911889) and next prime (82911967).

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, 134950 + ... + 135562.

Almost surely, 2^82911928 is an apocalyptic number.

82911928 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 82911928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89521200).

82911928 is an abundant number, since it is smaller than the sum of its proper divisors (96130472).

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

82911928 is a wasteful number, since it uses less digits than its factorization.

82911928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The square root of 82911928 is about 9105.5987172728. The cubic root of 82911928 is about 436.0527248754.

The spelling of 82911928 in words is "eighty-two million, nine hundred eleven thousand, nine hundred twenty-eight".