2528838400 has 216 divisors, whose sum is σ = 7233380784. Its totient is φ = 865075200.

The previous prime is 2528838359. The next prime is 2528838401. The reversal of 2528838400 is 48388252.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2528838401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195744 + ... + 1197856.

It is an arithmetic number, because the mean of its divisors is an integer number (33487874).

Almost surely, 2^2528838400 is an apocalyptic number.

2528838400 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 2528838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616690392).

2528838400 is an abundant number, since it is smaller than the sum of its proper divisors (4704542384).

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

2528838400 is a wasteful number, since it uses less digits than its factorization.

2528838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 2528838400 is about 50287.5571090901. The cubic root of 2528838400 is about 1362.4075003837.

The spelling of 2528838400 in words is "two billion, five hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred".