128903712 has 144 divisors (see below), whose sum is σ = 400468320. Its totient is φ = 36191232.

The previous prime is 128903701. The next prime is 128903737. The reversal of 128903712 is 217309821.

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, 314964 + ... + 315372.

It is an arithmetic number, because the mean of its divisors is an integer number (2781030).

Almost surely, 2^128903712 is an apocalyptic number.

128903712 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 128903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200234160).

128903712 is an abundant number, since it is smaller than the sum of its proper divisors (271564608).

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

128903712 is a wasteful number, since it uses less digits than its factorization.

128903712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 128903712 is about 11353.5770574740. The cubic root of 128903712 is about 505.1516872697.

It can be divided in two parts, 128 and 903712, that added together give a triangular number (903840 = T₁₃₄₄).

The spelling of 128903712 in words is "one hundred twenty-eight million, nine hundred three thousand, seven hundred twelve".