28345089600 has 567 divisors, whose sum is σ = 107070600819. Its totient is φ = 7111526400.

The previous prime is 28345089589. The next prime is 28345089601. The reversal of 28345089600 is 698054382.

The square root of 28345089600 is 168360.

It is a perfect power (a square), and thus also a powerful number.

28345089600 is a `hidden beast` number, since 2 + 8 + 34 + 5 + 0 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13056261696 + 15288827904 = 114264^2 + 123648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (28345089601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 464673570 + ... + 464673630.

Almost surely, 2^28345089600 is an apocalyptic number.

28345089600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28345089600 is the 168360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28345089600

28345089600 is an abundant number, since it is smaller than the sum of its proper divisors (78725511219).

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

28345089600 is a wasteful number, since it uses less digits than its factorization.

28345089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28345089600 in words is "twenty-eight billion, three hundred forty-five million, eighty-nine thousand, six hundred".