28746547200 has 576 divisors, whose sum is σ = 117896940720. Its totient is φ = 6558842880.

The previous prime is 28746547147. The next prime is 28746547201. The reversal of 28746547200 is 274564782.

It is a happy number.

28746547200 is a `hidden beast` number, since 2 + 87 + 4 + 6 + 547 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×28746547200³ (a number of 32 digits) contains 333 as substring.

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 (28746547201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51609322 + ... + 51609878.

Almost surely, 2^28746547200 is an apocalyptic number.

28746547200 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 28746547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58948470360).

28746547200 is an abundant number, since it is smaller than the sum of its proper divisors (89150393520).

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

28746547200 is an equidigital number, since it uses as much as digits as its factorization.

28746547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 28746547200 in words is "twenty-eight billion, seven hundred forty-six million, five hundred forty-seven thousand, two hundred".