628848230400 has 1056 divisors, whose sum is σ = 2519210094870. Its totient is φ = 154793410560.

The previous prime is 628848230399. The next prime is 628848230411. The reversal of 628848230400 is 4032848826.

628848230400 is a `hidden beast` number, since 6 + 2 + 8 + 8 + 4 + 8 + 230 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 349252632576 + 279595597824 = 590976^2 + 528768^2 .

It is a super-2 number, since 2×628848230400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 48372940794 + ... + 48372940806.

Almost surely, 2^628848230400 is an apocalyptic number.

628848230400 is a gapful number since it is divisible by the number (60) 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 628848230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259605047435).

628848230400 is an abundant number, since it is smaller than the sum of its proper divisors (1890361864470).

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

628848230400 is an frugal number, since it uses more digits than its factorization.

628848230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 628848230400 in words is "six hundred twenty-eight billion, eight hundred forty-eight million, two hundred thirty thousand, four hundred".