1628294400 has 378 divisors, whose sum is σ = 6059974550. Its totient is φ = 432967680.

The previous prime is 1628294399. The next prime is 1628294417. The reversal of 1628294400 is 44928261.

1628294400 is a `hidden beast` number, since 1 + 628 + 29 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 215737344 + 1412557056 = 14688^2 + 37584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 4665426 + ... + 4665774.

Almost surely, 2^1628294400 is an apocalyptic number.

1628294400 is a gapful number since it is divisible by the number (10) 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 1628294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029987275).

1628294400 is an abundant number, since it is smaller than the sum of its proper divisors (4431680150).

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

1628294400 is an frugal number, since it uses more digits than its factorization.

1628294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1628294400 is about 40352.1300553019. The cubic root of 1628294400 is about 1176.4612934168.

The spelling of 1628294400 in words is "one billion, six hundred twenty-eight million, two hundred ninety-four thousand, four hundred".