1253720928 has 96 divisors (see below), whose sum is σ = 3503606400. Its totient is φ = 391412736.

The previous prime is 1253720899. The next prime is 1253720957. The reversal of 1253720928 is 8290273521.

It is an interprime number because it is at equal distance from previous prime (1253720899) and next prime (1253720957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158475 + ... + 166197.

It is an arithmetic number, because the mean of its divisors is an integer number (36495900).

Almost surely, 2^1253720928 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 1253720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751803200).

1253720928 is an abundant number, since it is smaller than the sum of its proper divisors (2249885472).

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

1253720928 is a wasteful number, since it uses less digits than its factorization.

1253720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1253720928 is about 35407.9218254898. The cubic root of 1253720928 is about 1078.2851523683.

The spelling of 1253720928 in words is "one billion, two hundred fifty-three million, seven hundred twenty thousand, nine hundred twenty-eight".