1014528928 has 144 divisors (see below), whose sum is σ = 2442109824. Its totient is φ = 413199360.

The previous prime is 1014528913. The next prime is 1014528929. The reversal of 1014528928 is 8298254101.

It is not an unprimeable number, because it can be changed into a prime (1014528929) 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, 2764201 + ... + 2764567.

It is an arithmetic number, because the mean of its divisors is an integer number (16959096).

Almost surely, 2^1014528928 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 1014528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221054912).

1014528928 is an abundant number, since it is smaller than the sum of its proper divisors (1427580896).

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

1014528928 is a wasteful number, since it uses less digits than its factorization.

1014528928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1014528928 is about 31851.6707254109. The cubic root of 1014528928 is about 1004.8197090844.

The spelling of 1014528928 in words is "one billion, fourteen million, five hundred twenty-eight thousand, nine hundred twenty-eight".