128273040 has 240 divisors, whose sum is σ = 508824576. Its totient is φ = 28339200.

The previous prime is 128273029. The next prime is 128273059. The reversal of 128273040 is 40372821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 128272995 and 128273013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155830 + ... + 156650.

Almost surely, 2^128273040 is an apocalyptic number.

128273040 is a gapful number since it is divisible by the number (10) 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 128273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254412288).

128273040 is an abundant number, since it is smaller than the sum of its proper divisors (380551536).

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

128273040 is a wasteful number, since it uses less digits than its factorization.

128273040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 128273040 is about 11325.7688480738. The cubic root of 128273040 is about 504.3265080083.

The spelling of 128273040 in words is "one hundred twenty-eight million, two hundred seventy-three thousand, forty".