82128480 has 96 divisors (see below), whose sum is σ = 295674624. Its totient is φ = 18771456.

The previous prime is 82128467. The next prime is 82128481. The reversal of 82128480 is 8482128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82128480² = 13490174454220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82128481) 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, 8862 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (3079944).

Almost surely, 2^82128480 is an apocalyptic number.

82128480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82128480 is an abundant number, since it is smaller than the sum of its proper divisors (213546144).

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

82128480 is a wasteful number, since it uses less digits than its factorization.

82128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24468 (or 24460 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 82128480 is about 9062.4764827281. The cubic root of 82128480 is about 434.6749321992.

The spelling of 82128480 in words is "eighty-two million, one hundred twenty-eight thousand, four hundred eighty".