27921933900 has 864 divisors, whose sum is σ = 113572730880. Its totient is φ = 5742213120.

The previous prime is 27921933841. The next prime is 27921933913. The reversal of 27921933900 is 933912972.

It is a happy number.

27921933900 is a `hidden beast` number, since 2 + 79 + 2 + 193 + 390 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 594083677 + ... + 594083723.

It is an arithmetic number, because the mean of its divisors is an integer number (131449920).

Almost surely, 2^27921933900 is an apocalyptic number.

27921933900 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 27921933900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56786365440).

27921933900 is an abundant number, since it is smaller than the sum of its proper divisors (85650796980).

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

27921933900 is a wasteful number, since it uses less digits than its factorization.

27921933900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 27921933900 in words is "twenty-seven billion, nine hundred twenty-one million, nine hundred thirty-three thousand, nine hundred".