27828801 has 48 divisors (see below), whose sum is σ = 53988480. Its totient is φ = 13340160.

The previous prime is 27828799. The next prime is 27828809. The reversal of 27828801 is 10882872.

It is not a de Polignac number, because 27828801 - 2¹ = 27828799 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27828809) 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, 7465 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (1124760).

Almost surely, 2^27828801 is an apocalyptic number.

27828801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27828801 is a deficient number, since it is larger than the sum of its proper divisors (26159679).

27828801 is a wasteful number, since it uses less digits than its factorization.

27828801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 27828801 is about 5275.3010340643. The cubic root of 27828801 is about 303.0387494148.

It can be divided in two parts, 27 and 828801, that added together give a palindrome (828828).

The spelling of 27828801 in words is "twenty-seven million, eight hundred twenty-eight thousand, eight hundred one".