1253987328 has 176 divisors, whose sum is σ = 3735300096. Its totient is φ = 370728960.

The previous prime is 1253987321. The next prime is 1253987369. The reversal of 1253987328 is 8237893521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253987321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452625 + ... + 1453487.

It is an arithmetic number, because the mean of its divisors is an integer number (21223296).

Almost surely, 2^1253987328 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 1253987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867650048).

1253987328 is an abundant number, since it is smaller than the sum of its proper divisors (2481312768).

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

1253987328 is a wasteful number, since it uses less digits than its factorization.

1253987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 922 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1253987328 is about 35411.6834957052. The cubic root of 1253987328 is about 1078.3615209908.

The spelling of 1253987328 in words is "one billion, two hundred fifty-three million, nine hundred eighty-seven thousand, three hundred twenty-eight".