828882560 has 128 divisors (see below), whose sum is σ = 2174558400. Its totient is φ = 299622400.

The previous prime is 828882521. The next prime is 828882589. The reversal of 828882560 is 65288828.

828882560 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 (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978031 + ... + 1978449.

Almost surely, 2^828882560 is an apocalyptic number.

828882560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087279200).

828882560 is an abundant number, since it is smaller than the sum of its proper divisors (1345675840).

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

828882560 is a wasteful number, since it uses less digits than its factorization.

828882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The square root of 828882560 is about 28790.3205956446. The cubic root of 828882560 is about 939.3577021593.

It can be divided in two parts, 828 and 882560, that added together give a palindrome (883388).

The spelling of 828882560 in words is "eight hundred twenty-eight million, eight hundred eighty-two thousand, five hundred sixty".