1383528400 has 30 divisors (see below), whose sum is σ = 3323927942. Its totient is φ = 553411200.

The previous prime is 1383528371. The next prime is 1383528437. The reversal of 1383528400 is 48253831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 58859584 + 1324668816 = 7672^2 + 36396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1729011 + ... + 1729810.

Almost surely, 2^1383528400 is an apocalyptic number.

1383528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1383528400 is an abundant number, since it is smaller than the sum of its proper divisors (1940399542).

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

1383528400 is a wasteful number, since it uses less digits than its factorization.

1383528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458839 (or 3458828 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 1383528400 is about 37195.8115921672. The cubic root of 1383528400 is about 1114.2843376834.

The spelling of 1383528400 in words is "one billion, three hundred eighty-three million, five hundred twenty-eight thousand, four hundred".