1528648704 has 264 divisors, whose sum is σ = 5104202688. Its totient is φ = 435486720.

The previous prime is 1528648703. The next prime is 1528648733. The reversal of 1528648704 is 4078468251.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 1528648704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528648703) 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, 1722949 + ... + 1723835.

Almost surely, 2^1528648704 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 1528648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552101344).

1528648704 is an abundant number, since it is smaller than the sum of its proper divisors (3575553984).

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

1528648704 is a wasteful number, since it uses less digits than its factorization.

1528648704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1528648704 is about 39097.9373368980. The cubic root of 1528648704 is about 1151.9560168393.

The spelling of 1528648704 in words is "one billion, five hundred twenty-eight million, six hundred forty-eight thousand, seven hundred four".