28954425600 has 243 divisors, whose sum is σ = 103664818803. Its totient is φ = 7710289920.

The previous prime is 28954425589. The next prime is 28954425607. The reversal of 28954425600 is 652445982.

The square root of 28954425600 is 170160.

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

28954425600 is a `hidden beast` number, since 2 + 89 + 5 + 4 + 4 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7996651776 + 20957773824 = 89424^2 + 144768^2 .

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 (28954425607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40838046 + ... + 40838754.

Almost surely, 2^28954425600 is an apocalyptic number.

28954425600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28954425600 is the 170160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28954425600

28954425600 is an abundant number, since it is smaller than the sum of its proper divisors (74710393203).

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

28954425600 is an frugal number, since it uses more digits than its factorization.

28954425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 28954425600 in words is "twenty-eight billion, nine hundred fifty-four million, four hundred twenty-five thousand, six hundred".