1032238728 has 192 divisors, whose sum is σ = 3027548160. Its totient is φ = 329204736.

The previous prime is 1032238723. The next prime is 1032238741. The reversal of 1032238728 is 8278322301.

It is a happy number.

1032238728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1032238692 and 1032238701.

It is not an unprimeable number, because it can be changed into a prime (1032238723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8127801 + ... + 8127927.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2^1032238728 is an apocalyptic number.

1032238728 is a gapful number since it is divisible by the number (18) 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 1032238728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513774080).

1032238728 is an abundant number, since it is smaller than the sum of its proper divisors (1995309432).

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

1032238728 is a wasteful number, since it uses less digits than its factorization.

1032238728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1032238728 is about 32128.4722325852. The cubic root of 1032238728 is about 1010.6327858316.

The spelling of 1032238728 in words is "one billion, thirty-two million, two hundred thirty-eight thousand, seven hundred twenty-eight".