826729332 has 192 divisors, whose sum is σ = 2413152000. Its totient is φ = 216760320.

The previous prime is 826729313. The next prime is 826729367. The reversal of 826729332 is 233927628.

826729332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1841044 + ... + 1841492.

It is an arithmetic number, because the mean of its divisors is an integer number (12568500).

Almost surely, 2^826729332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826729332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576000).

826729332 is an abundant number, since it is smaller than the sum of its proper divisors (1586422668).

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

826729332 is a wasteful number, since it uses less digits than its factorization.

826729332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 544 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 826729332 is about 28752.9012796970. The cubic root of 826729332 is about 938.5435919414.

The spelling of 826729332 in words is "eight hundred twenty-six million, seven hundred twenty-nine thousand, three hundred thirty-two".