981908928 has 504 divisors, whose sum is σ = 3828629376. Its totient is φ = 233625600.

The previous prime is 981908909. The next prime is 981908947. The reversal of 981908928 is 829809189.

It is a happy number.

981908928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (981908909) and next prime (981908947).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×981908928² = 1928290285772218368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7495423 + ... + 7495553.

Almost surely, 2^981908928 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 981908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914314688).

981908928 is an abundant number, since it is smaller than the sum of its proper divisors (2846720448).

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

981908928 is a wasteful number, since it uses less digits than its factorization.

981908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 981908928 is about 31335.4260861409. The cubic root of 981908928 is about 993.9329074977.

It can be divided in two parts, 981 and 908928, that added together give a palindrome (909909).

The spelling of 981908928 in words is "nine hundred eighty-one million, nine hundred eight thousand, nine hundred twenty-eight".