1306993428 has 96 divisors (see below), whose sum is σ = 3734192000. Its totient is φ = 392781312.

The previous prime is 1306993427. The next prime is 1306993453. The reversal of 1306993428 is 8243996031.

It is a happy number.

1306993428 is a `hidden beast` number, since 130 + 6 + 9 + 93 + 428 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306993421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49548 + ... + 71196.

Almost surely, 2^1306993428 is an apocalyptic number.

1306993428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306993428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867096000).

1306993428 is an abundant number, since it is smaller than the sum of its proper divisors (2427198572).

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

1306993428 is a wasteful number, since it uses less digits than its factorization.

1306993428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21718 (or 21710 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1306993428 is about 36152.3640720769. The cubic root of 1306993428 is about 1093.3464552840.

The spelling of 1306993428 in words is "one billion, three hundred six million, nine hundred ninety-three thousand, four hundred twenty-eight".