728238792693048 has 128 divisors (see below), whose sum is σ = 2242198332971520. Its totient is φ = 191937528046080.

The previous prime is 728238792693043. The next prime is 728238792693103. The reversal of 728238792693048 is 840396297832827.

It is a super-2 number, since 2×728238792693048² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728238792693043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105553315 + ... + 112240722.

It is an arithmetic number, because the mean of its divisors is an integer number (17517174476340).

Almost surely, 2^{728238792693048} is an apocalyptic number.

728238792693048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

728238792693048 is an abundant number, since it is smaller than the sum of its proper divisors (1513959540278472).

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

728238792693048 is a wasteful number, since it uses less digits than its factorization.

728238792693048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217795597 (or 217795593 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 78.

The spelling of 728238792693048 in words is "seven hundred twenty-eight trillion, two hundred thirty-eight billion, seven hundred ninety-two million, six hundred ninety-three thousand, forty-eight".