1082032128 has 128 divisors (see below), whose sum is σ = 3208593600. Its totient is φ = 360382464.

The previous prime is 1082032123. The next prime is 1082032141. The reversal of 1082032128 is 8212302801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1082032123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884125 + ... + 885347.

Almost surely, 2^1082032128 is an apocalyptic number.

1082032128 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 1082032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604296800).

1082032128 is an abundant number, since it is smaller than the sum of its proper divisors (2126561472).

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

1082032128 is an frugal number, since it uses more digits than its factorization.

1082032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1082032128 is about 32894.2567631494. The cubic root of 1082032128 is about 1026.6286629736.

Adding to 1082032128 its reverse (8212302801), we get a palindrome (9294334929).

The spelling of 1082032128 in words is "one billion, eighty-two million, thirty-two thousand, one hundred twenty-eight".