1294345728 has 480 divisors, whose sum is σ = 4504211712. Its totient is φ = 353894400.

The previous prime is 1294345727. The next prime is 1294345733. The reversal of 1294345728 is 8275434921.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (483840) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294345727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31569388 + ... + 31569428.

Almost surely, 2^1294345728 is an apocalyptic number.

1294345728 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 1294345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856).

1294345728 is an abundant number, since it is smaller than the sum of its proper divisors (3209865984).

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

1294345728 is a wasteful number, since it uses less digits than its factorization.

1294345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1294345728 is about 35977.0166634200. The cubic root of 1294345728 is about 1089.8082674852.

The spelling of 1294345728 in words is "one billion, two hundred ninety-four million, three hundred forty-five thousand, seven hundred twenty-eight".