28727791200 has 432 divisors, whose sum is σ = 107984088576. Its totient is φ = 7169817600.

The previous prime is 28727791189. The next prime is 28727791229. The reversal of 28727791200 is 219772782.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 7781355 + ... + 7785045.

It is an arithmetic number, because the mean of its divisors is an integer number (249963168).

Almost surely, 2^28727791200 is an apocalyptic number.

28727791200 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 28727791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53992044288).

28727791200 is an abundant number, since it is smaller than the sum of its proper divisors (79256297376).

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

28727791200 is a wasteful number, since it uses less digits than its factorization.

28727791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 28727791200 in words is "twenty-eight billion, seven hundred twenty-seven million, seven hundred ninety-one thousand, two hundred".