728764388615101 has 24 divisors (see below), whose sum is σ = 771114131948160. Its totient is φ = 688400385810816.

The previous prime is 728764388615057. The next prime is 728764388615147. The reversal of 728764388615101 is 101516883467827.

It is not a de Polignac number, because 728764388615101 - 2³⁷ = 728626949661629 is a prime.

It is a super-2 number, since 2×728764388615101² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728764388315101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99919590 + ... + 106964728.

It is an arithmetic number, because the mean of its divisors is an integer number (32129755497840).

Almost surely, 2^{728764388615101} is an apocalyptic number.

It is an amenable number.

728764388615101 is a deficient number, since it is larger than the sum of its proper divisors (42349743333059).

728764388615101 is a wasteful number, since it uses less digits than its factorization.

728764388615101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047861 (or 7047832 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 67.

The spelling of 728764388615101 in words is "seven hundred twenty-eight trillion, seven hundred sixty-four billion, three hundred eighty-eight million, six hundred fifteen thousand, one hundred one".