728874754560 has 800 divisors, whose sum is σ = 2765973716352. Its totient is φ = 183060725760.

The previous prime is 728874754549. The next prime is 728874754577. The reversal of 728874754560 is 65457478827.

It is a happy number.

728874754560 is a `hidden beast` number, since 7 + 2 + 8 + 87 + 4 + 7 + 545 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319540620 + ... + 319542900.

Almost surely, 2^728874754560 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 728874754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382986858176).

728874754560 is an abundant number, since it is smaller than the sum of its proper divisors (2037098961792).

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

728874754560 is a wasteful number, since it uses less digits than its factorization.

728874754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 728874754560 in words is "seven hundred twenty-eight billion, eight hundred seventy-four million, seven hundred fifty-four thousand, five hundred sixty".