826676928 has 560 divisors, whose sum is σ = 3245510400. Its totient is φ = 201553920.

The previous prime is 826676911. The next prime is 826676951. The reversal of 826676928 is 829676628.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7584138 + ... + 7584246.

Almost surely, 2^826676928 is an apocalyptic number.

826676928 is a gapful number since it is divisible by the number (88) 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 826676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622755200).

826676928 is an abundant number, since it is smaller than the sum of its proper divisors (2418833472).

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

826676928 is a wasteful number, since it uses less digits than its factorization.

826676928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 826676928 is about 28751.9899833038. The cubic root of 826676928 is about 938.5237609940.

The spelling of 826676928 in words is "eight hundred twenty-six million, six hundred seventy-six thousand, nine hundred twenty-eight".