84888201728 has 160 divisors (see below), whose sum is σ = 191552739840. Its totient is φ = 37232640000.

The previous prime is 84888201719. The next prime is 84888201733. The reversal of 84888201728 is 82710288848.

It is a super-2 number, since 2×84888201728² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104929388 + ... + 104930196.

It is an arithmetic number, because the mean of its divisors is an integer number (1197204624).

Almost surely, 2^84888201728 is an apocalyptic number.

84888201728 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 84888201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95776369920).

84888201728 is an abundant number, since it is smaller than the sum of its proper divisors (106664538112).

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

84888201728 is a wasteful number, since it uses less digits than its factorization.

84888201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 56.

The spelling of 84888201728 in words is "eighty-four billion, eight hundred eighty-eight million, two hundred one thousand, seven hundred twenty-eight".