92728123488 has 1512 divisors, whose sum is σ = 390800715984. Its totient is φ = 21062384640.

The previous prime is 92728123487. The next prime is 92728123531. The reversal of 92728123488 is 88432182729.

92728123488 is a `hidden beast` number, since 92 + 72 + 8 + 1 + 2 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×92728123488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3096576) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92728123487) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 4880427543 + ... + 4880427561.

It is an arithmetic number, because the mean of its divisors is an integer number (258466082).

Almost surely, 2^92728123488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92728123488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195400357992).

92728123488 is an abundant number, since it is smaller than the sum of its proper divisors (298072592496).

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

92728123488 is a wasteful number, since it uses less digits than its factorization.

92728123488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 55 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 92728123488 in words is "ninety-two billion, seven hundred twenty-eight million, one hundred twenty-three thousand, four hundred eighty-eight".