728017844400 has 1080 divisors, whose sum is σ = 3283526195040. Its totient is φ = 146042265600.

The previous prime is 728017844399. The next prime is 728017844401. The reversal of 728017844400 is 4448710827.

728017844400 is a `hidden beast` number, since 72 + 8 + 0 + 178 + 4 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (728017844399) and next prime (728017844401).

It is a super-2 number, since 2×728017844400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (728017844401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 88422684 + ... + 88430916.

Almost surely, 2^728017844400 is an apocalyptic number.

728017844400 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 728017844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641763097520).

728017844400 is an abundant number, since it is smaller than the sum of its proper divisors (2555508350640).

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

728017844400 is a wasteful number, since it uses less digits than its factorization.

728017844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 728017844400 in words is "seven hundred twenty-eight billion, seventeen million, eight hundred forty-four thousand, four hundred".