1528338240 has 448 divisors, whose sum is σ = 6339352320. Its totient is φ = 341729280.

The previous prime is 1528338191. The next prime is 1528338241. The reversal of 1528338240 is 428338251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1528338195 and 1528338204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528338241) 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 63 ways as a sum of consecutive naturals, for example, 1234902 + ... + 1236138.

It is an arithmetic number, because the mean of its divisors is an integer number (14150340).

Almost surely, 2^1528338240 is an apocalyptic number.

1528338240 is a gapful number since it is divisible by the number (10) 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 1528338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169676160).

1528338240 is an abundant number, since it is smaller than the sum of its proper divisors (4811014080).

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

1528338240 is a wasteful number, since it uses less digits than its factorization.

1528338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1528338240 is about 39093.9667979600. The cubic root of 1528338240 is about 1151.8780252801.

The spelling of 1528338240 in words is "one billion, five hundred twenty-eight million, three hundred thirty-eight thousand, two hundred forty".