1348967928 has 256 divisors, whose sum is σ = 4480819200. Its totient is φ = 327836160.

The previous prime is 1348967923. The next prime is 1348967953. The reversal of 1348967928 is 8297698431.

It is a super-2 number, since 2×1348967928² = 3639428941545226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348967923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616350 + ... + 3616722.

It is an arithmetic number, because the mean of its divisors is an integer number (17503200).

Almost surely, 2^1348967928 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 1348967928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240409600).

1348967928 is an abundant number, since it is smaller than the sum of its proper divisors (3131851272).

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

1348967928 is a wasteful number, since it uses less digits than its factorization.

1348967928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 1348967928 is about 36728.2987354438. The cubic root of 1348967928 is about 1104.9277344003.

The spelling of 1348967928 in words is "one billion, three hundred forty-eight million, nine hundred sixty-seven thousand, nine hundred twenty-eight".