2453891328 has 288 divisors, whose sum is σ = 8502385920. Its totient is φ = 683458560.

The previous prime is 2453891327. The next prime is 2453891329. The reversal of 2453891328 is 8231983542.

2453891328 is a `hidden beast` number, since 2 + 4 + 538 + 91 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2453891327) and next prime (2453891329).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2453891327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1983126 + ... + 1984362.

Almost surely, 2^2453891328 is an apocalyptic number.

2453891328 is a gapful number since it is divisible by the number (28) 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 2453891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251192960).

2453891328 is an abundant number, since it is smaller than the sum of its proper divisors (6048494592).

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

2453891328 is a wasteful number, since it uses less digits than its factorization.

2453891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1290 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2453891328 is about 49536.7674359157. The cubic root of 2453891328 is about 1348.8131000108.

The spelling of 2453891328 in words is "two billion, four hundred fifty-three million, eight hundred ninety-one thousand, three hundred twenty-eight".