978582528 has 396 divisors, whose sum is σ = 3603980952. Its totient is φ = 252887040.

The previous prime is 978582523. The next prime is 978582551. The reversal of 978582528 is 825285879.

978582528 is a `hidden beast` number, since 9 + 7 + 8 + 582 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978582523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4967326 + ... + 4967522.

It is an arithmetic number, because the mean of its divisors is an integer number (9100962).

Almost surely, 2^978582528 is an apocalyptic number.

978582528 is a gapful number since it is divisible by the number (98) 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 978582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801990476).

978582528 is an abundant number, since it is smaller than the sum of its proper divisors (2625398424).

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

978582528 is a wasteful number, since it uses less digits than its factorization.

978582528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 978582528 is about 31282.3037514822. The cubic root of 978582528 is about 992.8092598595.

The spelling of 978582528 in words is "nine hundred seventy-eight million, five hundred eighty-two thousand, five hundred twenty-eight".