28628697600 has 360 divisors, whose sum is σ = 103095284292. Its totient is φ = 7586611200.

The previous prime is 28628697599. The next prime is 28628697631. The reversal of 28628697600 is 679682682.

28628697600 is a `hidden beast` number, since 2 + 8 + 6 + 28 + 6 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10267363584 + 18361334016 = 101328^2 + 135504^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 20850514 + ... + 20851886.

Almost surely, 2^28628697600 is an apocalyptic number.

28628697600 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 28628697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51547642146).

28628697600 is an abundant number, since it is smaller than the sum of its proper divisors (74466586692).

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

28628697600 is a wasteful number, since it uses less digits than its factorization.

28628697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28628697600 in words is "twenty-eight billion, six hundred twenty-eight million, six hundred ninety-seven thousand, six hundred".