1293242528 has 48 divisors (see below), whose sum is σ = 2662341696. Its totient is φ = 617210880.

The previous prime is 1293242519. The next prime is 1293242549. The reversal of 1293242528 is 8252423921.

It is a junction number, because it is equal to n+sod(n) for n = 1293242491 and 1293242500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412808 + ... + 415928.

It is an arithmetic number, because the mean of its divisors is an integer number (55465452).

Almost surely, 2^1293242528 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 1293242528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331170848).

1293242528 is an abundant number, since it is smaller than the sum of its proper divisors (1369099168).

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

1293242528 is a wasteful number, since it uses less digits than its factorization.

1293242528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3709 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 1293242528 is about 35961.6813844959. The cubic root of 1293242528 is about 1089.4985567713.

The spelling of 1293242528 in words is "one billion, two hundred ninety-three million, two hundred forty-two thousand, five hundred twenty-eight".