978752268 has 192 divisors, whose sum is σ = 2852881920. Its totient is φ = 288209664.

The previous prime is 978752267. The next prime is 978752273. The reversal of 978752268 is 862257879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (978752267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4311571 + ... + 4311797.

It is an arithmetic number, because the mean of its divisors is an integer number (14858760).

Almost surely, 2^978752268 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 978752268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426440960).

978752268 is an abundant number, since it is smaller than the sum of its proper divisors (1874129652).

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

978752268 is a wasteful number, since it uses less digits than its factorization.

978752268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 978752268 is about 31285.0166693259. The cubic root of 978752268 is about 992.8666591067.

The spelling of 978752268 in words is "nine hundred seventy-eight million, seven hundred fifty-two thousand, two hundred sixty-eight".