84753328 has 40 divisors (see below), whose sum is σ = 179917056. Its totient is φ = 38356800.

The previous prime is 84753311. The next prime is 84753329. The reversal of 84753328 is 82335748.

It is not an unprimeable number, because it can be changed into a prime (84753329) 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 7 ways as a sum of consecutive naturals, for example, 45373 + ... + 47203.

Almost surely, 2^84753328 is an apocalyptic number.

84753328 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 84753328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89958528).

84753328 is an abundant number, since it is smaller than the sum of its proper divisors (95163728).

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

84753328 is a wasteful number, since it uses less digits than its factorization.

84753328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2107 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 84753328 is about 9206.1570701352. The cubic root of 84753328 is about 439.2572316795.

The spelling of 84753328 in words is "eighty-four million, seven hundred fifty-three thousand, three hundred twenty-eight".