28698624000 has 600 divisors, whose sum is σ = 107620721208. Its totient is φ = 7608729600.

The previous prime is 28698623903. The next prime is 28698624011. The reversal of 28698624000 is 42689682.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 28677390336 = 4608^2 + 169344^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×28698624000² (a number of 22 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 39 ways as a sum of consecutive naturals, for example, 165887914 + ... + 165888086.

Almost surely, 2^28698624000 is an apocalyptic number.

28698624000 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 28698624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53810360604).

28698624000 is an abundant number, since it is smaller than the sum of its proper divisors (78922097208).

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

28698624000 is an frugal number, since it uses more digits than its factorization.

28698624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28698624000 in words is "twenty-eight billion, six hundred ninety-eight million, six hundred twenty-four thousand".