728842514400 has 1728 divisors, whose sum is σ = 3560037143040. Its totient is φ = 139744051200.

The previous prime is 728842514399. The next prime is 728842514423. The reversal of 728842514400 is 4415248827.

728842514400 is a `hidden beast` number, since 7 + 2 + 88 + 425 + 144 + 0 + 0 = 666.

728842514400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728842514400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 281079504 + ... + 281082096.

It is an arithmetic number, because the mean of its divisors is an integer number (2060206680).

Almost surely, 2^728842514400 is an apocalyptic number.

728842514400 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 728842514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780018571520).

728842514400 is an abundant number, since it is smaller than the sum of its proper divisors (2831194628640).

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

728842514400 is a wasteful number, since it uses less digits than its factorization.

728842514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 728842514400 in words is "seven hundred twenty-eight billion, eight hundred forty-two million, five hundred fourteen thousand, four hundred".