828611440 has 20 divisors (see below), whose sum is σ = 1926521784. Its totient is φ = 331444544.

The previous prime is 828611423. The next prime is 828611479. The reversal of 828611440 is 44116828.

828611440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 828611396 and 828611405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5178742 + ... + 5178901.

Almost surely, 2^828611440 is an apocalyptic number.

828611440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828611440 is an abundant number, since it is smaller than the sum of its proper divisors (1097910344).

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

828611440 is a wasteful number, since it uses less digits than its factorization.

828611440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10357656 (or 10357650 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 828611440 is about 28785.6116836172. The cubic root of 828611440 is about 939.2552725167.

The spelling of 828611440 in words is "eight hundred twenty-eight million, six hundred eleven thousand, four hundred forty".