28192540200 has 288 divisors, whose sum is σ = 96501948480. Its totient is φ = 6803456000.

The previous prime is 28192540199. The next prime is 28192540219. The reversal of 28192540200 is 204529182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18657445 + ... + 18658955.

It is an arithmetic number, because the mean of its divisors is an integer number (335076210).

Almost surely, 2^28192540200 is an apocalyptic number.

28192540200 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 28192540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48250974240).

28192540200 is an abundant number, since it is smaller than the sum of its proper divisors (68309408280).

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

28192540200 is a wasteful number, since it uses less digits than its factorization.

28192540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 28192540200 in words is "twenty-eight billion, one hundred ninety-two million, five hundred forty thousand, two hundred".