728356104 has 256 divisors, whose sum is σ = 2410560000. Its totient is φ = 199480320.

The previous prime is 728356099. The next prime is 728356159. The reversal of 728356104 is 401653827.

728356104 is a `hidden beast` number, since 7 + 2 + 8 + 35 + 610 + 4 = 666.

It is a super-2 number, since 2×728356104² = 1061005228468117632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4888222 + ... + 4888370.

It is an arithmetic number, because the mean of its divisors is an integer number (9416250).

Almost surely, 2^728356104 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 728356104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280000).

728356104 is an abundant number, since it is smaller than the sum of its proper divisors (1682203896).

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

728356104 is a wasteful number, since it uses less digits than its factorization.

728356104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

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

The square root of 728356104 is about 26988.0733658407. The cubic root of 728356104 is about 899.7349441692.

The spelling of 728356104 in words is "seven hundred twenty-eight million, three hundred fifty-six thousand, one hundred four".