1253648928 has 144 divisors (see below), whose sum is σ = 3952053504. Its totient is φ = 346590720.

The previous prime is 1253648873. The next prime is 1253649011. The reversal of 1253648928 is 8298463521.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (829440) is a multiple of the sum of its prime divisors (8640).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141526 + ... + 150122.

It is an arithmetic number, because the mean of its divisors is an integer number (27444816).

Almost surely, 2^1253648928 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 1253648928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976026752).

1253648928 is an abundant number, since it is smaller than the sum of its proper divisors (2698404576).

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

1253648928 is a wasteful number, since it uses less digits than its factorization.

1253648928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655 (or 8640 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1253648928 is about 35406.9050892619. The cubic root of 1253648928 is about 1078.2645103430.

The spelling of 1253648928 in words is "one billion, two hundred fifty-three million, six hundred forty-eight thousand, nine hundred twenty-eight".