85801492728 has 480 divisors, whose sum is σ = 293514249600. Its totient is φ = 23318668800.

The previous prime is 85801492691. The next prime is 85801492739. The reversal of 85801492728 is 82729410858.

85801492728 is a `hidden beast` number, since 8 + 5 + 80 + 1 + 492 + 72 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60042318 + ... + 60043746.

It is an arithmetic number, because the mean of its divisors is an integer number (611488020).

Almost surely, 2^85801492728 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 85801492728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146757124800).

85801492728 is an abundant number, since it is smaller than the sum of its proper divisors (207712756872).

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

85801492728 is a wasteful number, since it uses less digits than its factorization.

85801492728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 85801492728 in words is "eighty-five billion, eight hundred one million, four hundred ninety-two thousand, seven hundred twenty-eight".