84428292 has 48 divisors (see below), whose sum is σ = 215772480. Its totient is φ = 25534848.

The previous prime is 84428291. The next prime is 84428293. The reversal of 84428292 is 29282448.

Added to its reverse (29282448) it gives a triangular number (113710740 = T₁₅₀₈₀).

It is an interprime number because it is at equal distance from previous prime (84428291) and next prime (84428293).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84428292.

It is not an unprimeable number, because it can be changed into a prime (84428291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4618 + ... + 13790.

It is an arithmetic number, because the mean of its divisors is an integer number (4495260).

Almost surely, 2^84428292 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 84428292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107886240).

84428292 is an abundant number, since it is smaller than the sum of its proper divisors (131344188).

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

84428292 is a wasteful number, since it uses less digits than its factorization.

84428292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9252 (or 9250 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 84428292 is about 9188.4869265837. The cubic root of 84428292 is about 438.6949830772.

Adding to 84428292 its reverse (29282448), we get a triangular number (113710740 = T₁₅₀₈₀).

The spelling of 84428292 in words is "eighty-four million, four hundred twenty-eight thousand, two hundred ninety-two".