1528466016 has 288 divisors, whose sum is σ = 5157250560. Its totient is φ = 391910400.

The previous prime is 1528466011. The next prime is 1528466029. The reversal of 1528466016 is 6106648251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528466011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5639961 + ... + 5640231.

It is an arithmetic number, because the mean of its divisors is an integer number (17907120).

Almost surely, 2^1528466016 is an apocalyptic number.

1528466016 is a gapful number since it is divisible by the number (16) 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 1528466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578625280).

1528466016 is an abundant number, since it is smaller than the sum of its proper divisors (3628784544).

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

1528466016 is a wasteful number, since it uses less digits than its factorization.

1528466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1528466016 is about 39095.6009801614. The cubic root of 1528466016 is about 1151.9101251258.

The spelling of 1528466016 in words is "one billion, five hundred twenty-eight million, four hundred sixty-six thousand, sixteen".