85828420 has 24 divisors (see below), whose sum is σ = 180765144. Its totient is φ = 34231296.

The previous prime is 85828417. The next prime is 85828423. The reversal of 85828420 is 2482858.

It is an interprime number because it is at equal distance from previous prime (85828417) and next prime (85828423).

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 85821696 = 82^2 + 9264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85828420.

It is not an unprimeable number, because it can be changed into a prime (85828423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982 + ... + 13138.

It is an arithmetic number, because the mean of its divisors is an integer number (7531881).

Almost surely, 2^85828420 is an apocalyptic number.

It is an amenable number.

85828420 is an abundant number, since it is smaller than the sum of its proper divisors (94936724).

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

85828420 is a wasteful number, since it uses less digits than its factorization.

85828420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12519 (or 12517 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 85828420 is about 9264.3629030819. The cubic root of 85828420 is about 441.1067523679.

The spelling of 85828420 in words is "eighty-five million, eight hundred twenty-eight thousand, four hundred twenty".