128033070 has 64 divisors (see below), whose sum is σ = 336420864. Its totient is φ = 30926720.

The previous prime is 128033023. The next prime is 128033071. The reversal of 128033070 is 70330821.

It is a super-3 number, since 3×128033070³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 128033070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128033071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125884 + ... + 126896.

It is an arithmetic number, because the mean of its divisors is an integer number (5256576).

Almost surely, 2^128033070 is an apocalyptic number.

128033070 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 128033070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168210432).

128033070 is an abundant number, since it is smaller than the sum of its proper divisors (208387794).

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

128033070 is a wasteful number, since it uses less digits than its factorization.

128033070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 128033070 is about 11315.1699059272. The cubic root of 128033070 is about 504.0118178761.

Adding to 128033070 its reverse (70330821), we get a palindrome (198363891).

The spelling of 128033070 in words is "one hundred twenty-eight million, thirty-three thousand, seventy".