27920200 has 192 divisors, whose sum is σ = 84816000. Its totient is φ = 8467200.

The previous prime is 27920147. The next prime is 27920227. The reversal of 27920200 is 202972.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754582 + ... + 754618.

It is an arithmetic number, because the mean of its divisors is an integer number (441750).

Almost surely, 2^27920200 is an apocalyptic number.

27920200 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 27920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408000).

27920200 is an abundant number, since it is smaller than the sum of its proper divisors (56895800).

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

27920200 is a wasteful number, since it uses less digits than its factorization.

27920200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 27920200 is about 5283.9568506944. The cubic root of 27920200 is about 303.3701467483.

It can be divided in two parts, 2 and 7920200, that multiplied together give a square (15840400 = 3980²).

The spelling of 27920200 in words is "twenty-seven million, nine hundred twenty thousand, two hundred".