978000528 has 80 divisors (see below), whose sum is σ = 2664750080. Its totient is φ = 308230272.

The previous prime is 978000523. The next prime is 978000559. The reversal of 978000528 is 825000879.

It is a Cunningham number, because it is equal to 31273²-1.

It is not an unprimeable number, because it can be changed into a prime (978000523) 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 15 ways as a sum of consecutive naturals, for example, 749925 + ... + 751227.

It is an arithmetic number, because the mean of its divisors is an integer number (33309376).

Almost surely, 2^978000528 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 978000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332375040).

978000528 is an abundant number, since it is smaller than the sum of its proper divisors (1686749552).

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

978000528 is a wasteful number, since it uses less digits than its factorization.

978000528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 978000528 is about 31272.9999840118. Note that the first 4 decimals coincide. The cubic root of 978000528 is about 992.6124004361.

The spelling of 978000528 in words is "nine hundred seventy-eight million, five hundred twenty-eight", and thus it is an aban number.