85195342728 has 128 divisors (see below), whose sum is σ = 247148236800. Its totient is φ = 27141162048.

The previous prime is 85195342717. The next prime is 85195342759. The reversal of 85195342728 is 82724359158.

85195342728 is a `hidden beast` number, since 8 + 5 + 195 + 3 + 427 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6586075 + ... + 6598997.

It is an arithmetic number, because the mean of its divisors is an integer number (1930845600).

Almost surely, 2^85195342728 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 85195342728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123574118400).

85195342728 is an abundant number, since it is smaller than the sum of its proper divisors (161952894072).

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

85195342728 is a wasteful number, since it uses less digits than its factorization.

85195342728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288 (or 14278 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 85195342728 in words is "eighty-five billion, one hundred ninety-five million, three hundred forty-two thousand, seven hundred twenty-eight".