84828744 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 20148480.

The previous prime is 84828719. The next prime is 84828763. The reversal of 84828744 is 44782848.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84828744.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792739 + ... + 792845.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^84828744 is an apocalyptic number.

84828744 is a gapful number since it is divisible by the number (84) 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 84828744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

84828744 is an abundant number, since it is smaller than the sum of its proper divisors (228881016).

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

84828744 is a wasteful number, since it uses less digits than its factorization.

84828744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 84828744 is about 9210.2521138132. The cubic root of 84828744 is about 439.3874810484.

It can be divided in two parts, 848 and 28744, that added together give a palindrome (29592).

The spelling of 84828744 in words is "eighty-four million, eight hundred twenty-eight thousand, seven hundred forty-four".