80032128 has 64 divisors (see below), whose sum is σ = 231923520. Its totient is φ = 24250880.

The previous prime is 80032109. The next prime is 80032129. The reversal of 80032128 is 82123008.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 80032098 and 80032107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80032129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5250 + ... + 13697.

It is an arithmetic number, because the mean of its divisors is an integer number (3623805).

Almost surely, 2^80032128 is an apocalyptic number.

80032128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80032128 is an abundant number, since it is smaller than the sum of its proper divisors (151891392).

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

80032128 is a wasteful number, since it uses less digits than its factorization.

80032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18975 (or 18963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80032128 is about 8946.0677395155. The cubic root of 80032128 is about 430.9446116846.

The spelling of 80032128 in words is "eighty million, thirty-two thousand, one hundred twenty-eight".