920429328 has 120 divisors (see below), whose sum is σ = 2978851008. Its totient is φ = 242742528.

The previous prime is 920429297. The next prime is 920429357. The reversal of 920429328 is 823924029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15525 + ... + 45627.

Almost surely, 2^920429328 is an apocalyptic number.

920429328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920429328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489425504).

920429328 is an abundant number, since it is smaller than the sum of its proper divisors (2058421680).

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

920429328 is a wasteful number, since it uses less digits than its factorization.

920429328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30141 (or 30128 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 920429328 is about 30338.5782132255. The cubic root of 920429328 is about 972.7400924071.

The spelling of 920429328 in words is "nine hundred twenty million, four hundred twenty-nine thousand, three hundred twenty-eight".