728785184400 has 1440 divisors, whose sum is σ = 3300358763520. Its totient is φ = 144764928000.

The previous prime is 728785184377. The next prime is 728785184401. The reversal of 728785184400 is 4481587827.

728785184400 is a `hidden beast` number, since 7 + 2 + 87 + 8 + 518 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×728785184400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (728785184401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 389515465 + ... + 389517335.

It is an arithmetic number, because the mean of its divisors is an integer number (2291915808).

Almost surely, 2^728785184400 is an apocalyptic number.

728785184400 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 728785184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650179381760).

728785184400 is an abundant number, since it is smaller than the sum of its proper divisors (2571573579120).

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

728785184400 is a wasteful number, since it uses less digits than its factorization.

728785184400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 728785184400 in words is "seven hundred twenty-eight billion, seven hundred eighty-five million, one hundred eighty-four thousand, four hundred".