2257864728 has 128 divisors (see below), whose sum is σ = 6628416000. Its totient is φ = 640628352.

The previous prime is 2257864723. The next prime is 2257864747. The reversal of 2257864728 is 8274687522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257864723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291551 + ... + 1293297.

It is an arithmetic number, because the mean of its divisors is an integer number (51784500).

Almost surely, 2^2257864728 is an apocalyptic number.

2257864728 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 2257864728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314208000).

2257864728 is an abundant number, since it is smaller than the sum of its proper divisors (4370551272).

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

2257864728 is a wasteful number, since it uses less digits than its factorization.

2257864728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1916 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The square root of 2257864728 is about 47516.9940968492. The cubic root of 2257864728 is about 1311.8956933609.

The spelling of 2257864728 in words is "two billion, two hundred fifty-seven million, eight hundred sixty-four thousand, seven hundred twenty-eight".