1025872128 has 252 divisors, whose sum is σ = 3217092480. Its totient is φ = 325721088.

The previous prime is 1025872103. The next prime is 1025872153. The reversal of 1025872128 is 8212785201.

It is an interprime number because it is at equal distance from previous prime (1025872103) and next prime (1025872153).

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 = 1025872092 and 1025872101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4292233 + ... + 4292471.

It is an arithmetic number, because the mean of its divisors is an integer number (12766240).

Almost surely, 2^1025872128 is an apocalyptic number.

1025872128 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 1025872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608546240).

1025872128 is an abundant number, since it is smaller than the sum of its proper divisors (2191220352).

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

1025872128 is an frugal number, since it uses more digits than its factorization.

1025872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1025872128 is about 32029.2386422156. The cubic root of 1025872128 is about 1008.5507194685.

The spelling of 1025872128 in words is "one billion, twenty-five million, eight hundred seventy-two thousand, one hundred twenty-eight".