728400254400 has 2688 divisors, whose sum is σ = 3476755251200. Its totient is φ = 144223027200.

The previous prime is 728400254399. The next prime is 728400254471. The reversal of 728400254400 is 4452004827.

728400254400 is a `hidden beast` number, since 72 + 8 + 40 + 0 + 2 + 544 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5240289531 + ... + 5240289669.

Almost surely, 2^728400254400 is an apocalyptic number.

728400254400 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 728400254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738377625600).

728400254400 is an abundant number, since it is smaller than the sum of its proper divisors (2748354996800).

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

728400254400 is a wasteful number, since it uses less digits than its factorization.

728400254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 728400254400 in words is "seven hundred twenty-eight billion, four hundred million, two hundred fifty-four thousand, four hundred".