2027628864 has 84 divisors (see below), whose sum is σ = 5825150656. Its totient is φ = 674327808.

The previous prime is 2027628859. The next prime is 2027628881. The reversal of 2027628864 is 4688267202.

It is a super-2 number, since 2×2027628864² = 8222557620251860992, which contains 22 as substring.

It is a congruent number.

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, 262887 + ... + 270489.

Almost surely, 2^2027628864 is an apocalyptic number.

2027628864 is a gapful number since it is divisible by the number (24) 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 2027628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912575328).

2027628864 is an abundant number, since it is smaller than the sum of its proper divisors (3797521792).

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

2027628864 is a wasteful number, since it uses less digits than its factorization.

2027628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2027628864 is about 45029.2001261404. The cubic root of 2027628864 is about 1265.6962352296.

The spelling of 2027628864 in words is "two billion, twenty-seven million, six hundred twenty-eight thousand, eight hundred sixty-four".