92752128 has 252 divisors, whose sum is σ = 321709248. Its totient is φ = 26127360.

The previous prime is 92752117. The next prime is 92752139. The reversal of 92752128 is 82125729.

It is an interprime number because it is at equal distance from previous prime (92752117) and next prime (92752139).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 92752092 and 92752101.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306333 + ... + 1306403.

It is an arithmetic number, because the mean of its divisors is an integer number (1276624).

Almost surely, 2^92752128 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 92752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160854624).

92752128 is an abundant number, since it is smaller than the sum of its proper divisors (228957120).

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

92752128 is an frugal number, since it uses more digits than its factorization.

92752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 92752128 is about 9630.7906217506. The cubic root of 92752128 is about 452.6626144480.

The spelling of 92752128 in words is "ninety-two million, seven hundred fifty-two thousand, one hundred twenty-eight".