84729288 has 64 divisors (see below), whose sum is σ = 248008320. Its totient is φ = 23616000.

The previous prime is 84729283. The next prime is 84729299. The reversal of 84729288 is 88292748.

It is not an unprimeable number, because it can be changed into a prime (84729283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738 + ... + 13038.

It is an arithmetic number, because the mean of its divisors is an integer number (3875130).

Almost surely, 2^84729288 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 84729288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124004160).

84729288 is an abundant number, since it is smaller than the sum of its proper divisors (163279032).

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

84729288 is a wasteful number, since it uses less digits than its factorization.

84729288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12358 (or 12354 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 84729288 is about 9204.8513295979. The cubic root of 84729288 is about 439.2156964672.

It can be divided in two parts, 847 and 29288, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 84729288 in words is "eighty-four million, seven hundred twenty-nine thousand, two hundred eighty-eight".