1528561664 has 152 divisors (see below), whose sum is σ = 3774866400. Its totient is φ = 616562688.

The previous prime is 1528561663. The next prime is 1528561687. The reversal of 1528561664 is 4661658251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528561663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89915384 + ... + 89915400.

Almost surely, 2^1528561664 is an apocalyptic number.

1528561664 is a gapful number since it is divisible by the number (14) 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 1528561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887433200).

1528561664 is an abundant number, since it is smaller than the sum of its proper divisors (2246304736).

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

1528561664 is an frugal number, since it uses more digits than its factorization.

1528561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 26 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 1528561664 is about 39096.8242188544. The cubic root of 1528561664 is about 1151.9341526149.

The spelling of 1528561664 in words is "one billion, five hundred twenty-eight million, five hundred sixty-one thousand, six hundred sixty-four".