28742704200 has 360 divisors, whose sum is σ = 116129272050. Its totient is φ = 6569579520.

The previous prime is 28742704187. The next prime is 28742704201. The reversal of 28742704200 is 240724782.

28742704200 is a `hidden beast` number, since 28 + 7 + 427 + 0 + 4 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16420372164 + 12322332036 = 128142^2 + 111006^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×28742704200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28742704201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 775696 + ... + 811904.

Almost surely, 2^28742704200 is an apocalyptic number.

28742704200 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 28742704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58064636025).

28742704200 is an abundant number, since it is smaller than the sum of its proper divisors (87386567850).

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

28742704200 is a wasteful number, since it uses less digits than its factorization.

28742704200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36251 (or 36226 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 28742704200 in words is "twenty-eight billion, seven hundred forty-two million, seven hundred four thousand, two hundred".