728855366400 has 1728 divisors, whose sum is σ = 3182352983040. Its totient is φ = 161780613120.

The previous prime is 728855366363. The next prime is 728855366441. The reversal of 728855366400 is 4663558827.

728855366400 is a `hidden beast` number, since 7 + 2 + 88 + 553 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4213036714 + ... + 4213036886.

Almost surely, 2^728855366400 is an apocalyptic number.

728855366400 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 728855366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591176491520).

728855366400 is an abundant number, since it is smaller than the sum of its proper divisors (2453497616640).

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

728855366400 is an equidigital number, since it uses as much as digits as its factorization.

728855366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 728855366400 in words is "seven hundred twenty-eight billion, eight hundred fifty-five million, three hundred sixty-six thousand, four hundred".