27800352 has 72 divisors (see below), whose sum is σ = 80078544. Its totient is φ = 9147264.

The previous prime is 27800329. The next prime is 27800393. The reversal of 27800352 is 25300872.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23323 + ... + 24485.

It is an arithmetic number, because the mean of its divisors is an integer number (1112202).

Almost surely, 2^27800352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40039272).

27800352 is an abundant number, since it is smaller than the sum of its proper divisors (52278192).

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

27800352 is a wasteful number, since it uses less digits than its factorization.

27800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27800352 is about 5272.6039107826. The cubic root of 27800352 is about 302.9354500929.

The spelling of 27800352 in words is "twenty-seven million, eight hundred thousand, three hundred fifty-two".