828880401 has 16 divisors (see below), whose sum is σ = 1142297024. Its totient is φ = 534216384.

The previous prime is 828880379. The next prime is 828880411. The reversal of 828880401 is 104088828.

828880401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828880401 - 2⁹ = 828879889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 828880401.

It is not an unprimeable number, because it can be changed into a prime (828880411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6355 + ... + 41208.

It is an arithmetic number, because the mean of its divisors is an integer number (71393564).

Almost surely, 2^828880401 is an apocalyptic number.

It is an amenable number.

828880401 is a deficient number, since it is larger than the sum of its proper divisors (313416623).

828880401 is a wasteful number, since it uses less digits than its factorization.

828880401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47760.

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 828880401 is about 28790.2831003795. The cubic root of 828880401 is about 939.3568865733.

The spelling of 828880401 in words is "eight hundred twenty-eight million, eight hundred eighty thousand, four hundred one".