2827920 has 40 divisors (see below), whose sum is σ = 8767296. Its totient is φ = 754048.

The previous prime is 2827907. The next prime is 2827927. The reversal of 2827920 is 297282.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2827927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5652 + ... + 6131.

2^2827920 is an apocalyptic number.

2827920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2827920 is an abundant number, since it is smaller than the sum of its proper divisors (5939376).

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

2827920 is a wasteful number, since it uses less digits than its factorization.

2827920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11799 (or 11793 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2827920 is about 1681.6420546597. The cubic root of 2827920 is about 141.4129036530.

The spelling of 2827920 in words is "two million, eight hundred twenty-seven thousand, nine hundred twenty".