1528784140 has 72 divisors (see below), whose sum is σ = 3487660848. Its totient is φ = 562648320.

The previous prime is 1528784129. The next prime is 1528784149. The reversal of 1528784140 is 414878251.

It is a super-5 number, since 5×1528784140⁵ (a number of 47 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1528784093 and 1528784102.

It is not an unprimeable number, because it can be changed into a prime (1528784149) 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, 1496830 + ... + 1497850.

It is an arithmetic number, because the mean of its divisors is an integer number (48439734).

Almost surely, 2^1528784140 is an apocalyptic number.

1528784140 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 1528784140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743830424).

1528784140 is an abundant number, since it is smaller than the sum of its proper divisors (1958876708).

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

1528784140 is a wasteful number, since it uses less digits than its factorization.

1528784140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 1528784140 is about 39099.6693080645. The cubic root of 1528784140 is about 1151.9900363641.

The spelling of 1528784140 in words is "one billion, five hundred twenty-eight million, seven hundred eighty-four thousand, one hundred forty".