728145420710400 has 7680 divisors, whose sum is σ = 3692665048596480. Its totient is φ = 137594142720000.

The previous prime is 728145420710387. The next prime is 728145420710483. The reversal of 728145420710400 is 4017024541827.

728145420710400 is a `hidden beast` number, since 7 + 2 + 81 + 45 + 420 + 7 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1135952294080 + ... + 1135952294720.

It is an arithmetic number, because the mean of its divisors is an integer number (480815761536).

Almost surely, 2^{728145420710400} is an apocalyptic number.

728145420710400 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 728145420710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846332524298240).

728145420710400 is an abundant number, since it is smaller than the sum of its proper divisors (2964519627886080).

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

728145420710400 is a wasteful number, since it uses less digits than its factorization.

728145420710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 728145420710400 in words is "seven hundred twenty-eight trillion, one hundred forty-five billion, four hundred twenty million, seven hundred ten thousand, four hundred".