1528445664 has 144 divisors (see below), whose sum is σ = 4504211712. Its totient is φ = 491307264.

The previous prime is 1528445663. The next prime is 1528445693. The reversal of 1528445664 is 4665448251.

It is a happy number.

1528445664 is a `hidden beast` number, since 1 + 5 + 2 + 84 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1528445664² = 4672292295600801792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528445663) 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, 1027129 + ... + 1028615.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 2^1528445664 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 1528445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856).

1528445664 is an abundant number, since it is smaller than the sum of its proper divisors (2975766048).

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

1528445664 is a wasteful number, since it uses less digits than its factorization.

1528445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1618 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 1528445664 is about 39095.3406942566. The cubic root of 1528445664 is about 1151.9050124227.

The spelling of 1528445664 in words is "one billion, five hundred twenty-eight million, four hundred forty-five thousand, six hundred sixty-four".