728286856970400 has 4608 divisors, whose sum is σ = 3562044014592000. Its totient is φ = 139213740441600.

The previous prime is 728286856970377. The next prime is 728286856970419. The reversal of 728286856970400 is 4079658682827.

728286856970400 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 86 + 8 + 56 + 97 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 206138367034 + ... + 206138370566.

It is an arithmetic number, because the mean of its divisors is an integer number (773013024000).

Almost surely, 2^{728286856970400} is an apocalyptic number.

728286856970400 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 728286856970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781022007296000).

728286856970400 is an abundant number, since it is smaller than the sum of its proper divisors (2833757157621600).

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

728286856970400 is a wasteful number, since it uses less digits than its factorization.

728286856970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 728286856970400 in words is "seven hundred twenty-eight trillion, two hundred eighty-six billion, eight hundred fifty-six million, nine hundred seventy thousand, four hundred".