84728952 has 384 divisors, whose sum is σ = 323481600. Its totient is φ = 19353600.

The previous prime is 84728947. The next prime is 84728957. The reversal of 84728952 is 25982748.

It is an interprime number because it is at equal distance from previous prime (84728947) and next prime (84728957).

It is a junction number, because it is equal to n+sod(n) for n = 84728898 and 84728907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84728957) 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 95 ways as a sum of consecutive naturals, for example, 2733177 + ... + 2733207.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^84728952 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 84728952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

84728952 is an abundant number, since it is smaller than the sum of its proper divisors (238752648).

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

84728952 is a wasteful number, since it uses less digits than its factorization.

84728952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 84728952 is about 9204.8330783344. The cubic root of 84728952 is about 439.2151158861.

It can be divided in two parts, 8472 and 8952, that added together give a square (17424 = 132²).

The spelling of 84728952 in words is "eighty-four million, seven hundred twenty-eight thousand, nine hundred fifty-two".