728201093760 has 1536 divisors, whose sum is σ = 3147979161600. Its totient is φ = 157265805312.

The previous prime is 728201093759. The next prime is 728201093819. The reversal of 728201093760 is 67390102827.

728201093760 is a `hidden beast` number, since 72 + 8 + 201 + 0 + 9 + 376 + 0 = 666.

It is a super-3 number, since 3×728201093760³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 3179917326 + ... + 3179917554.

It is an arithmetic number, because the mean of its divisors is an integer number (2049465600).

Almost surely, 2^728201093760 is an apocalyptic number.

728201093760 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 728201093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573989580800).

728201093760 is an abundant number, since it is smaller than the sum of its proper divisors (2419778067840).

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

728201093760 is a wasteful number, since it uses less digits than its factorization.

728201093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 728201093760 in words is "seven hundred twenty-eight billion, two hundred one million, ninety-three thousand, seven hundred sixty".