28623909600 has 720 divisors, whose sum is σ = 122674804560. Its totient is φ = 6403276800.

The previous prime is 28623909599. The next prime is 28623909619. The reversal of 28623909600 is 690932682.

28623909600 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 39 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9264856 + ... + 9267944.

It is an arithmetic number, because the mean of its divisors is an integer number (170381673).

Almost surely, 2^28623909600 is an apocalyptic number.

28623909600 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 28623909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337402280).

28623909600 is an abundant number, since it is smaller than the sum of its proper divisors (94050894960).

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

28623909600 is a wasteful number, since it uses less digits than its factorization.

28623909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 28623909600 in words is "twenty-eight billion, six hundred twenty-three million, nine hundred nine thousand, six hundred".