1258633728 has 400 divisors, whose sum is σ = 4277940480. Its totient is φ = 364953600.

The previous prime is 1258633723. The next prime is 1258633751. The reversal of 1258633728 is 8273368521.

1258633728 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 633 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×1258633728³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1258633723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14141908 + ... + 14141996.

Almost surely, 2^1258633728 is an apocalyptic number.

1258633728 is a gapful number since it is divisible by the number (18) 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 1258633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138970240).

1258633728 is an abundant number, since it is smaller than the sum of its proper divisors (3019306752).

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

1258633728 is an equidigital number, since it uses as much as digits as its factorization.

1258633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1258633728 is about 35477.2283021095. The cubic root of 1258633728 is about 1079.6917638885.

The spelling of 1258633728 in words is "one billion, two hundred fifty-eight million, six hundred thirty-three thousand, seven hundred twenty-eight".