84528768 has 64 divisors (see below), whose sum is σ = 225681120. Its totient is φ = 28032000.

The previous prime is 84528767. The next prime is 84528779. The reversal of 84528768 is 86782548.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×84528768² = 14290225239195648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84528761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95946 + ... + 96822.

Almost surely, 2^84528768 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 84528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112840560).

84528768 is an abundant number, since it is smaller than the sum of its proper divisors (141152352).

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

84528768 is a wasteful number, since it uses less digits than its factorization.

84528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 84528768 is about 9193.9527951801. The cubic root of 84528768 is about 438.8689407326.

The spelling of 84528768 in words is "eighty-four million, five hundred twenty-eight thousand, seven hundred sixty-eight".