968948428 has 48 divisors (see below), whose sum is σ = 1993743360. Its totient is φ = 403428096.

The previous prime is 968948411. The next prime is 968948437. The reversal of 968948428 is 824849869.

It is a super-3 number, since 3×968948428³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180276 + ... + 185572.

It is an arithmetic number, because the mean of its divisors is an integer number (41536320).

Almost surely, 2^968948428 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 968948428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996871680).

968948428 is an abundant number, since it is smaller than the sum of its proper divisors (1024794932).

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

968948428 is a wasteful number, since it uses less digits than its factorization.

968948428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5492 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 58.

The square root of 968948428 is about 31127.9364558591. The cubic root of 968948428 is about 989.5404553578.

The spelling of 968948428 in words is "nine hundred sixty-eight million, nine hundred forty-eight thousand, four hundred twenty-eight".