1219728384 has 396 divisors, whose sum is σ = 4265317524. Its totient is φ = 334430208.

The previous prime is 1219728373. The next prime is 1219728403. The reversal of 1219728384 is 4838279121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 914457600 + 305270784 = 30240^2 + 17472^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16708572 + ... + 16708644.

Almost surely, 2^1219728384 is an apocalyptic number.

1219728384 is a gapful number since it is divisible by the number (14) 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 1219728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132658762).

1219728384 is an abundant number, since it is smaller than the sum of its proper divisors (3045589140).

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

1219728384 is a wasteful number, since it uses less digits than its factorization.

1219728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1219728384 is about 34924.6100049807. The cubic root of 1219728384 is about 1068.4504265116.

The spelling of 1219728384 in words is "one billion, two hundred nineteen million, seven hundred twenty-eight thousand, three hundred eighty-four".