80137728 has 320 divisors, whose sum is σ = 282839040. Its totient is φ = 22118400.

The previous prime is 80137709. The next prime is 80137741. The reversal of 80137728 is 82773108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80137692 and 80137701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585073 + ... + 2585103.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^80137728 is an apocalyptic number.

80137728 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 80137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

80137728 is an abundant number, since it is smaller than the sum of its proper divisors (202701312).

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

80137728 is a wasteful number, since it uses less digits than its factorization.

80137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 80137728 is about 8951.9678283604. The cubic root of 80137728 is about 431.1340678918.

The spelling of 80137728 in words is "eighty million, one hundred thirty-seven thousand, seven hundred twenty-eight".