5028626400 has 288 divisors, whose sum is σ = 19144274688. Its totient is φ = 1122508800.

The previous prime is 5028626399. The next prime is 5028626437. The reversal of 5028626400 is 46268205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718920 + ... + 725880.

It is an arithmetic number, because the mean of its divisors is an integer number (66473176).

Almost surely, 2^5028626400 is an apocalyptic number.

5028626400 is a gapful number since it is divisible by the number (50) 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 5028626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572137344).

5028626400 is an abundant number, since it is smaller than the sum of its proper divisors (14115648288).

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

5028626400 is a wasteful number, since it uses less digits than its factorization.

5028626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5028626400 is about 70912.8084340199. The cubic root of 5028626400 is about 1713.2331022162.

The spelling of 5028626400 in words is "five billion, twenty-eight million, six hundred twenty-six thousand, four hundred".