49840128 has 144 divisors (see below), whose sum is σ = 155907765. Its totient is φ = 15335424.

The previous prime is 49840081. The next prime is 49840151. The reversal of 49840128 is 82104894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49840128 is a `hidden beast` number, since 498 + 40 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 7225344 = 6528^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4992.

It is a super-3 number, since 3×49840128³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 49840092 and 49840101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3833850 + ... + 3833862.

Almost surely, 2^49840128 is an apocalyptic number.

49840128 is a gapful number since it is divisible by the number (48) 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 49840128

49840128 is an abundant number, since it is smaller than the sum of its proper divisors (106067637).

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

49840128 is an equidigital number, since it uses as much as digits as its factorization.

49840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 49840128 is about 7059.7541033665. The cubic root of 49840128 is about 368.0100816394.

Multiplying 49840128 by its product of nonzero digits (18432), we get a square (918653239296 = 958464²).

49840128 divided by its product of nonzero digits (18432) gives a square (2704 = 52²).

The spelling of 49840128 in words is "forty-nine million, eight hundred forty thousand, one hundred twenty-eight".