1385519828 has 96 divisors (see below), whose sum is σ = 3144400896. Its totient is φ = 518940000.

The previous prime is 1385519827. The next prime is 1385519831. The reversal of 1385519828 is 8289155831.

It is a happy number.

It is a super-2 number, since 2×1385519828² = 3839330387562299168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385519827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9175553 + ... + 9175703.

It is an arithmetic number, because the mean of its divisors is an integer number (32754176).

Almost surely, 2^1385519828 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 1385519828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572200448).

1385519828 is an abundant number, since it is smaller than the sum of its proper divisors (1758881068).

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

1385519828 is a wasteful number, since it uses less digits than its factorization.

1385519828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 202 counting only the distinct ones).

The product of its digits is 691200, while the sum is 50.

The square root of 1385519828 is about 37222.5714855919. The cubic root of 1385519828 is about 1114.8187088869.

The spelling of 1385519828 in words is "one billion, three hundred eighty-five million, five hundred nineteen thousand, eight hundred twenty-eight".