128295090 has 320 divisors, whose sum is σ = 459157248. Its totient is φ = 25090560.

The previous prime is 128295077. The next prime is 128295113. The reversal of 128295090 is 90592821.

128295090 is a `hidden beast` number, since 128 + 29 + 509 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7546762 + ... + 7546778.

Almost surely, 2^128295090 is an apocalyptic number.

128295090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128295090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229578624).

128295090 is an abundant number, since it is smaller than the sum of its proper divisors (330862158).

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

128295090 is a wasteful number, since it uses less digits than its factorization.

128295090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 128295090 is about 11326.7422500912. The cubic root of 128295090 is about 504.3554040838.

The spelling of 128295090 in words is "one hundred twenty-eight million, two hundred ninety-five thousand, ninety".