42964128 has 48 divisors (see below), whose sum is σ = 125314560. Its totient is φ = 14321088.

The previous prime is 42964123. The next prime is 42964133. The reversal of 42964128 is 82146924.

42964128 is a `hidden beast` number, since 4 + 2 + 9 + 641 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42964123) and next prime (42964133).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42964092 and 42964101.

It is not an unprimeable number, because it can be changed into a prime (42964123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24000 + ... + 25727.

It is an arithmetic number, because the mean of its divisors is an integer number (2610720).

Almost surely, 2^42964128 is an apocalyptic number.

42964128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42964128 is an abundant number, since it is smaller than the sum of its proper divisors (82350432).

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

42964128 is a wasteful number, since it uses less digits than its factorization.

42964128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49746 (or 49732 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42964128 is about 6554.7027392552. The cubic root of 42964128 is about 350.2423573111.

The spelling of 42964128 in words is "forty-two million, nine hundred sixty-four thousand, one hundred twenty-eight".