997914528 has 288 divisors, whose sum is σ = 3209746176. Its totient is φ = 292091904.

The previous prime is 997914509. The next prime is 997914529. The reversal of 997914528 is 825419799.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (997914529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9326251 + ... + 9326357.

It is an arithmetic number, because the mean of its divisors is an integer number (11144952).

Almost surely, 2^997914528 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 997914528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604873088).

997914528 is an abundant number, since it is smaller than the sum of its proper divisors (2211831648).

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

997914528 is a wasteful number, since it uses less digits than its factorization.

997914528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 997914528 is about 31589.7851844548. The cubic root of 997914528 is about 999.3043588623.

The spelling of 997914528 in words is "nine hundred ninety-seven million, nine hundred fourteen thousand, five hundred twenty-eight".