28814745600 has 588 divisors, whose sum is σ = 107690406666. Its totient is φ = 7644119040.

The previous prime is 28814745581. The next prime is 28814745607. The reversal of 28814745600 is 654741882.

28814745600 is a `hidden beast` number, since 2 + 8 + 8 + 14 + 74 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17703899136 + 11110846464 = 133056^2 + 105408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28814745607) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 149299104 + ... + 149299296.

Almost surely, 2^28814745600 is an apocalyptic number.

28814745600 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 28814745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53845203333).

28814745600 is an abundant number, since it is smaller than the sum of its proper divisors (78875661066).

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

28814745600 is an frugal number, since it uses more digits than its factorization.

28814745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28814745600 in words is "twenty-eight billion, eight hundred fourteen million, seven hundred forty-five thousand, six hundred".