1027852800 has 480 divisors, whose sum is σ = 3836004480. Its totient is φ = 240844800.

The previous prime is 1027852789. The next prime is 1027852801. The reversal of 1027852800 is 82587201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027852801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14476765 + ... + 14476835.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^1027852800 is an apocalyptic number.

1027852800 is a gapful number since it is divisible by the number (10) 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 1027852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918002240).

1027852800 is an abundant number, since it is smaller than the sum of its proper divisors (2808151680).

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

1027852800 is a wasteful number, since it uses less digits than its factorization.

1027852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 1027852800 is about 32060.1434806521. The cubic root of 1027852800 is about 1009.1993785901.

The spelling of 1027852800 in words is "one billion, twenty-seven million, eight hundred fifty-two thousand, eight hundred".