128958048 has 48 divisors (see below), whose sum is σ = 376130160. Its totient is φ = 42985728.

The previous prime is 128958029. The next prime is 128958059. The reversal of 128958048 is 840859821.

It is a happy number.

128958048 is a `hidden beast` number, since 1 + 28 + 9 + 580 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 128957994 and 128958012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73765 + ... + 75492.

It is an arithmetic number, because the mean of its divisors is an integer number (7836045).

Almost surely, 2^128958048 is an apocalyptic number.

128958048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128958048 is an abundant number, since it is smaller than the sum of its proper divisors (247172112).

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

128958048 is a wasteful number, since it uses less digits than its factorization.

128958048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149276 (or 149262 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 128958048 is about 11355.9697076031. The cubic root of 128958048 is about 505.2226551415. Note that the first 3 decimals are identical.

The spelling of 128958048 in words is "one hundred twenty-eight million, nine hundred fifty-eight thousand, forty-eight".