1012505328 has 120 divisors (see below), whose sum is σ = 2921363120. Its totient is φ = 327214080.

The previous prime is 1012505321. The next prime is 1012505359. The reversal of 1012505328 is 8235052101.

It is a happy number.

1012505328 is a `hidden beast` number, since 1 + 0 + 125 + 0 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012505321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640443 + ... + 642021.

Almost surely, 2^1012505328 is an apocalyptic number.

1012505328 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 1012505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460681560).

1012505328 is an abundant number, since it is smaller than the sum of its proper divisors (1908857792).

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

1012505328 is a wasteful number, since it uses less digits than its factorization.

1012505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1012505328 is about 31819.8888747274. Note that the first 4 decimals coincide. The cubic root of 1012505328 is about 1004.1511864726.

Adding to 1012505328 its reverse (8235052101), we get a palindrome (9247557429).

The spelling of 1012505328 in words is "one billion, twelve million, five hundred five thousand, three hundred twenty-eight".