820326528 has 320 divisors, whose sum is σ = 2843596800. Its totient is φ = 229920768.

The previous prime is 820326511. The next prime is 820326541. The reversal of 820326528 is 825623028.

It is a super-2 number, since 2×820326528² = 1345871225081069568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 820326492 and 820326501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6459201 + ... + 6459327.

It is an arithmetic number, because the mean of its divisors is an integer number (8886240).

Almost surely, 2^820326528 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 820326528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

820326528 is an abundant number, since it is smaller than the sum of its proper divisors (2023270272).

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

820326528 is a wasteful number, since it uses less digits than its factorization.

820326528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820326528 is about 28641.3429852722. The cubic root of 820326528 is about 936.1143844431.

The spelling of 820326528 in words is "eight hundred twenty million, three hundred twenty-six thousand, five hundred twenty-eight".