2628998400 has 432 divisors, whose sum is σ = 10251788288. Its totient is φ = 580608000.

The previous prime is 2628998377. The next prime is 2628998423. The reversal of 2628998400 is 48998262.

It is an interprime number because it is at equal distance from previous prime (2628998377) and next prime (2628998423).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2628998400.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4166085 + ... + 4166715.

Almost surely, 2^2628998400 is an apocalyptic number.

2628998400 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 2628998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125894144).

2628998400 is an abundant number, since it is smaller than the sum of its proper divisors (7622789888).

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

2628998400 is a wasteful number, since it uses less digits than its factorization.

2628998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2628998400 is about 51273.7593706566. The cubic root of 2628998400 is about 1380.1621317596.

The spelling of 2628998400 in words is "two billion, six hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".