85833178728 has 128 divisors (see below), whose sum is σ = 245537326080. Its totient is φ = 24749936640.

The previous prime is 85833178709. The next prime is 85833178747. The reversal of 85833178728 is 82787133858.

It is a Cunningham number, because it is equal to 292973²-1.

It is an interprime number because it is at equal distance from previous prime (85833178709) and next prime (85833178747).

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, 1135275 + ... + 1208517.

It is an arithmetic number, because the mean of its divisors is an integer number (1918260360).

Almost surely, 2^85833178728 is an apocalyptic number.

85833178728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85833178728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122768663040).

85833178728 is an abundant number, since it is smaller than the sum of its proper divisors (159704147352).

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

85833178728 is a wasteful number, since it uses less digits than its factorization.

85833178728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73479 (or 73475 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 60.

The spelling of 85833178728 in words is "eighty-five billion, eight hundred thirty-three million, one hundred seventy-eight thousand, seven hundred twenty-eight".