27428401 has 48 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 18944640.

The previous prime is 27428383. The next prime is 27428411. The reversal of 27428401 is 10482472.

It is not a de Polignac number, because 27428401 - 2¹¹ = 27426353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27428401.

It is not an unprimeable number, because it can be changed into a prime (27428411) 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, 517491 + ... + 517543.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^27428401 is an apocalyptic number.

It is an amenable number.

27428401 is a deficient number, since it is larger than the sum of its proper divisors (11182031).

27428401 is a wasteful number, since it uses less digits than its factorization.

27428401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 27428401 is about 5237.2130947671. The cubic root of 27428401 is about 301.5783518259.

The spelling of 27428401 in words is "twenty-seven million, four hundred twenty-eight thousand, four hundred one".