1293679728 has 120 divisors (see below), whose sum is σ = 4081770000. Its totient is φ = 392008320.

The previous prime is 1293679727. The next prime is 1293679741. The reversal of 1293679728 is 8279763921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293679727) 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 23 ways as a sum of consecutive naturals, for example, 39898 + ... + 64646.

It is an arithmetic number, because the mean of its divisors is an integer number (34014750).

Almost surely, 2^1293679728 is an apocalyptic number.

1293679728 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 1293679728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040885000).

1293679728 is an abundant number, since it is smaller than the sum of its proper divisors (2788090272).

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

1293679728 is a wasteful number, since it uses less digits than its factorization.

1293679728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24788 (or 24765 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1293679728 is about 35967.7595632533. The cubic root of 1293679728 is about 1089.6213167054.

The spelling of 1293679728 in words is "one billion, two hundred ninety-three million, six hundred seventy-nine thousand, seven hundred twenty-eight".