728883400 has 48 divisors (see below), whose sum is σ = 1936751040. Its totient is φ = 249902400.

The previous prime is 728883383. The next prime is 728883431. The reversal of 728883400 is 4388827.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258916 + ... + 261715.

It is an arithmetic number, because the mean of its divisors is an integer number (40348980).

Almost surely, 2^728883400 is an apocalyptic number.

728883400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

728883400 is an abundant number, since it is smaller than the sum of its proper divisors (1207867640).

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

728883400 is a wasteful number, since it uses less digits than its factorization.

728883400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520654 (or 520645 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 728883400 is about 26997.8406543931. The cubic root of 728883400 is about 899.9520139024.

The spelling of 728883400 in words is "seven hundred twenty-eight million, eight hundred eighty-three thousand, four hundred".