1072728384 has 280 divisors, whose sum is σ = 3585728160. Its totient is φ = 281336832.

The previous prime is 1072728379. The next prime is 1072728401. The reversal of 1072728384 is 4838272701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5992807 + ... + 5992985.

It is an arithmetic number, because the mean of its divisors is an integer number (12806172).

Almost surely, 2^1072728384 is an apocalyptic number.

1072728384 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 1072728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792864080).

1072728384 is an abundant number, since it is smaller than the sum of its proper divisors (2512999776).

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

1072728384 is an equidigital number, since it uses as much as digits as its factorization.

1072728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 1072728384 is about 32752.5324822372. The cubic root of 1072728384 is about 1023.6777346901.

The spelling of 1072728384 in words is "one billion, seventy-two million, seven hundred twenty-eight thousand, three hundred eighty-four".