2428888400 has 120 divisors (see below), whose sum is σ = 5998946400. Its totient is φ = 944704000.

The previous prime is 2428888373. The next prime is 2428888403. The reversal of 2428888400 is 48888242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428888403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383091 + ... + 2384109.

It is an arithmetic number, because the mean of its divisors is an integer number (49991220).

Almost surely, 2^2428888400 is an apocalyptic number.

2428888400 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 2428888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999473200).

2428888400 is an abundant number, since it is smaller than the sum of its proper divisors (3570058000).

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

2428888400 is a wasteful number, since it uses less digits than its factorization.

2428888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 2428888400 is about 49283.7539154639. The cubic root of 2428888400 is about 1344.2163914854.

The spelling of 2428888400 in words is "two billion, four hundred twenty-eight million, eight hundred eighty-eight thousand, four hundred".