92225628 has 120 divisors (see below), whose sum is σ = 266500080. Its totient is φ = 27578880.

The previous prime is 92225621. The next prime is 92225641. The reversal of 92225628 is 82652229.

92225628 is a `hidden beast` number, since 9 + 2 + 2 + 25 + 628 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 92225592 and 92225601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92225621) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 402618 + ... + 402846.

It is an arithmetic number, because the mean of its divisors is an integer number (2220834).

Almost surely, 2^92225628 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 92225628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250040).

92225628 is an abundant number, since it is smaller than the sum of its proper divisors (174274452).

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

92225628 is a wasteful number, since it uses less digits than its factorization.

92225628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 92225628 is about 9603.4175166969. The cubic root of 92225628 is about 451.8044877149.

The spelling of 92225628 in words is "ninety-two million, two hundred twenty-five thousand, six hundred twenty-eight".