1451137728 has 112 divisors (see below), whose sum is σ = 4023360000. Its totient is φ = 460981248.

The previous prime is 1451137717. The next prime is 1451137729. The reversal of 1451137728 is 8277311541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1451137729) 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, 438223 + ... + 441521.

Almost surely, 2^1451137728 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 1451137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680000).

1451137728 is an abundant number, since it is smaller than the sum of its proper divisors (2572222272).

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

1451137728 is a wasteful number, since it uses less digits than its factorization.

1451137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3412 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 1451137728 is about 38093.8017005392. The cubic root of 1451137728 is about 1132.1471504780.

The spelling of 1451137728 in words is "one billion, four hundred fifty-one million, one hundred thirty-seven thousand, seven hundred twenty-eight".