2923921728 has 378 divisors, whose sum is σ = 10574050734. Its totient is φ = 769886208.

The previous prime is 2923921711. The next prime is 2923921729. The reversal of 2923921728 is 8271293292.

It is a happy number.

2923921728 is a `hidden beast` number, since 2 + 92 + 392 + 172 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 366799104 + 2557122624 = 19152^2 + 50568^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923921729) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4769550 + ... + 4770162.

Almost surely, 2^2923921728 is an apocalyptic number.

2923921728 is a gapful number since it is divisible by the number (28) 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 2923921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287025367).

2923921728 is an abundant number, since it is smaller than the sum of its proper divisors (7650129006).

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

2923921728 is a wasteful number, since it uses less digits than its factorization.

2923921728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 638 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2923921728 is about 54073.2995849153. The cubic root of 2923921728 is about 1429.9534971104.

The spelling of 2923921728 in words is "two billion, nine hundred twenty-three million, nine hundred twenty-one thousand, seven hundred twenty-eight".