728714750400 has 2520 divisors, whose sum is σ = 3417338047200. Its totient is φ = 152165744640.

The previous prime is 728714750371. The next prime is 728714750411. The reversal of 728714750400 is 4057417827.

728714750400 is a `hidden beast` number, since 72 + 8 + 71 + 4 + 7 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7512523152 + ... + 7512523248.

Almost surely, 2^728714750400 is an apocalyptic number.

728714750400 is a gapful number since it is divisible by the number (70) 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 728714750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708669023600).

728714750400 is an abundant number, since it is smaller than the sum of its proper divisors (2688623296800).

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

728714750400 is a wasteful number, since it uses less digits than its factorization.

728714750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 728714750400 in words is "seven hundred twenty-eight billion, seven hundred fourteen million, seven hundred fifty thousand, four hundred".