80353728 has 336 divisors, whose sum is σ = 299984160. Its totient is φ = 20901888.

The previous prime is 80353709. The next prime is 80353759. The reversal of 80353728 is 82735308.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 80353692 and 80353701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100700 + ... + 1100772.

It is an arithmetic number, because the mean of its divisors is an integer number (892810).

Almost surely, 2^80353728 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 80353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149992080).

80353728 is an abundant number, since it is smaller than the sum of its proper divisors (219630432).

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

80353728 is a wasteful number, since it uses less digits than its factorization.

80353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 80353728 is about 8964.0240963532. The cubic root of 80353728 is about 431.5210741856.

The spelling of 80353728 in words is "eighty million, three hundred fifty-three thousand, seven hundred twenty-eight".