921728160 has 288 divisors, whose sum is σ = 3304409472. Its totient is φ = 242611200.

The previous prime is 921728147. The next prime is 921728161. The reversal of 921728160 is 61827129.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (921728161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5870802 + ... + 5870958.

It is an arithmetic number, because the mean of its divisors is an integer number (11473644).

Almost surely, 2^921728160 is an apocalyptic number.

921728160 is a gapful number since it is divisible by the number (90) 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 921728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652204736).

921728160 is an abundant number, since it is smaller than the sum of its proper divisors (2382681312).

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

921728160 is a wasteful number, since it uses less digits than its factorization.

921728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 921728160 is about 30359.9762845757. The cubic root of 921728160 is about 973.1974268657.

The spelling of 921728160 in words is "nine hundred twenty-one million, seven hundred twenty-eight thousand, one hundred sixty".