2628692352 has 448 divisors, whose sum is σ = 9271175760. Its totient is φ = 731566080.

The previous prime is 2628692323. The next prime is 2628692359. The reversal of 2628692352 is 2532968262.

It is a junction number, because it is equal to n+sod(n) for n = 2628692298 and 2628692307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628692359) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13343518 + ... + 13343714.

Almost surely, 2^2628692352 is an apocalyptic number.

2628692352 is a gapful number since it is divisible by the number (22) 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 2628692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635587880).

2628692352 is an abundant number, since it is smaller than the sum of its proper divisors (6642483408).

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

2628692352 is a wasteful number, since it uses less digits than its factorization.

2628692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2628692352 is about 51270.7748332322. The cubic root of 2628692352 is about 1380.1085736882.

The spelling of 2628692352 in words is "two billion, six hundred twenty-eight million, six hundred ninety-two thousand, three hundred fifty-two".