2928148704 has 240 divisors, whose sum is σ = 9419710608. Its totient is φ = 886837248.

The previous prime is 2928148651. The next prime is 2928148709. The reversal of 2928148704 is 4078418292.

2928148704 is a `hidden beast` number, since 2 + 92 + 81 + 487 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2928148704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928148709) 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, 2256984 + ... + 2258280.

Almost surely, 2^2928148704 is an apocalyptic number.

2928148704 is a gapful number since it is divisible by the number (24) 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 2928148704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709855304).

2928148704 is an abundant number, since it is smaller than the sum of its proper divisors (6491561904).

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

2928148704 is a wasteful number, since it uses less digits than its factorization.

2928148704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2928148704 is about 54112.3710809275. The cubic root of 2928148704 is about 1430.6422374759.

The spelling of 2928148704 in words is "two billion, nine hundred twenty-eight million, one hundred forty-eight thousand, seven hundred four".