84728448 has 288 divisors, whose sum is σ = 302328000. Its totient is φ = 22643712.

The previous prime is 84728437. The next prime is 84728461. The reversal of 84728448 is 84482748.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072473 + ... + 1072551.

It is an arithmetic number, because the mean of its divisors is an integer number (1049750).

Almost surely, 2^84728448 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 84728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151164000).

84728448 is an abundant number, since it is smaller than the sum of its proper divisors (217599552).

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

84728448 is a wasteful number, since it uses less digits than its factorization.

84728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

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

The square root of 84728448 is about 9204.8057013714. The cubic root of 84728448 is about 439.2142450116.

The spelling of 84728448 in words is "eighty-four million, seven hundred twenty-eight thousand, four hundred forty-eight".