27952273800 has 480 divisors, whose sum is σ = 112150098720. Its totient is φ = 6377011200.

The previous prime is 27952273777. The next prime is 27952273873. The reversal of 27952273800 is 837225972.

It is a super-2 number, since 2×27952273800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3024787 + ... + 3034013.

It is an arithmetic number, because the mean of its divisors is an integer number (233646039).

Almost surely, 2^27952273800 is an apocalyptic number.

27952273800 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 27952273800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56075049360).

27952273800 is an abundant number, since it is smaller than the sum of its proper divisors (84197824920).

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

27952273800 is a wasteful number, since it uses less digits than its factorization.

27952273800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9283 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27952273800 in words is "twenty-seven billion, nine hundred fifty-two million, two hundred seventy-three thousand, eight hundred".