2638153728 has 432 divisors, whose sum is σ = 9321661440. Its totient is φ = 715309056.

The previous prime is 2638153703. The next prime is 2638153741. The reversal of 2638153728 is 8273518362.

2638153728 is a `hidden beast` number, since 2 + 638 + 1 + 5 + 3 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×2638153728³ (a number of 29 digits) contains 333 as substring.

Its product of digits (483840) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20772801 + ... + 20772927.

It is an arithmetic number, because the mean of its divisors is an integer number (21577920).

Almost surely, 2^2638153728 is an apocalyptic number.

2638153728 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 2638153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660830720).

2638153728 is an abundant number, since it is smaller than the sum of its proper divisors (6683507712).

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

2638153728 is a wasteful number, since it uses less digits than its factorization.

2638153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2638153728 is about 51362.9606623294. The cubic root of 2638153728 is about 1381.7623859952.

The spelling of 2638153728 in words is "two billion, six hundred thirty-eight million, one hundred fifty-three thousand, seven hundred twenty-eight".