2928152640 has 448 divisors, whose sum is σ = 11086331904. Its totient is φ = 640991232.

The previous prime is 2928152629. The next prime is 2928152653. The reversal of 2928152640 is 462518292.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23056257 + ... + 23056383.

Almost surely, 2^2928152640 is an apocalyptic number.

2928152640 is a gapful number since it is divisible by the number (20) 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 2928152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543165952).

2928152640 is an abundant number, since it is smaller than the sum of its proper divisors (8158179264).

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

2928152640 is a wasteful number, since it uses less digits than its factorization.

2928152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2928152640 is about 54112.4074496783. The cubic root of 2928152640 is about 1430.6428784958.

The spelling of 2928152640 in words is "two billion, nine hundred twenty-eight million, one hundred fifty-two thousand, six hundred forty".