2792632128 has 224 divisors, whose sum is σ = 8918448000. Its totient is φ = 759767040.

The previous prime is 2792632079. The next prime is 2792632133. The reversal of 2792632128 is 8212362972.

It is a self number, because there is not a number n which added to its sum of digits gives 2792632128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014498 + ... + 1017246.

It is an arithmetic number, because the mean of its divisors is an integer number (39814500).

Almost surely, 2^2792632128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459224000).

2792632128 is an abundant number, since it is smaller than the sum of its proper divisors (6125815872).

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

2792632128 is a wasteful number, since it uses less digits than its factorization.

2792632128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2815 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2792632128 is about 52845.3605153754. The cubic root of 2792632128 is about 1408.2223843816. Note that the first 3 decimals are identical.

The spelling of 2792632128 in words is "two billion, seven hundred ninety-two million, six hundred thirty-two thousand, one hundred twenty-eight".