728801510400 has 198 divisors, whose sum is σ = 2609455021082. Its totient is φ = 194347008000.

The previous prime is 728801510303. The next prime is 728801510413. The reversal of 728801510400 is 4015108827.

728801510400 is a `hidden beast` number, since 7 + 28 + 80 + 1 + 510 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 225632600064 + 503168910336 = 475008^2 + 709344^2 .

It is a super-2 number, since 2×728801510400² (a number of 25 digits) contains 22 as substring.

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

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 17 ways as a sum of consecutive naturals, for example, 1351201 + ... + 1812000.

Almost surely, 2^728801510400 is an apocalyptic number.

It is an amenable number.

728801510400 is an abundant number, since it is smaller than the sum of its proper divisors (1880653510682).

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

728801510400 is a wasteful number, since it uses less digits than its factorization.

728801510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163237 (or 3163211 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 728801510400 in words is "seven hundred twenty-eight billion, eight hundred one million, five hundred ten thousand, four hundred".