1028121732 has 72 divisors (see below), whose sum is σ = 2838955392. Its totient is φ = 311131200.

The previous prime is 1028121713. The next prime is 1028121751. The reversal of 1028121732 is 2371218201.

1028121732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1028121713) and next prime (1028121751).

It is a junction number, because it is equal to n+sod(n) for n = 1028121696 and 1028121705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418933 + ... + 421379.

It is an arithmetic number, because the mean of its divisors is an integer number (39429936).

Almost surely, 2^1028121732 is an apocalyptic number.

1028121732 is a gapful number since it is divisible by the number (12) 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 1028121732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419477696).

1028121732 is an abundant number, since it is smaller than the sum of its proper divisors (1810833660).

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

1028121732 is a wasteful number, since it uses less digits than its factorization.

1028121732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1028121732 is about 32064.3373859495. The cubic root of 1028121732 is about 1009.2873880600.

Adding to 1028121732 its reverse (2371218201), we get a palindrome (3399339933).

It can be divided in two parts, 1028 and 121732, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1028121732 in words is "one billion, twenty-eight million, one hundred twenty-one thousand, seven hundred thirty-two".