92429952 has 64 divisors (see below), whose sum is σ = 259977600. Its totient is φ = 28995584.

The previous prime is 92429951. The next prime is 92429957. The reversal of 92429952 is 25992429.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (92429951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 13607.

It is an arithmetic number, because the mean of its divisors is an integer number (4062150).

Almost surely, 2^92429952 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 92429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129988800).

92429952 is an abundant number, since it is smaller than the sum of its proper divisors (167547648).

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

92429952 is a wasteful number, since it uses less digits than its factorization.

92429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14181 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 92429952 is about 9614.0497190310. The cubic root of 92429952 is about 452.1378961622.

It can be divided in two parts, 924 and 29952, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 92429952 in words is "ninety-two million, four hundred twenty-nine thousand, nine hundred fifty-two".