49868928 has 96 divisors (see below), whose sum is σ = 145714140. Its totient is φ = 16367616.

The previous prime is 49868911. The next prime is 49868941. The reversal of 49868928 is 82986894.

49868928 is a `hidden beast` number, since 498 + 68 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49449024 + 419904 = 7032^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×49868928³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83800 + ... + 84392.

Almost surely, 2^49868928 is an apocalyptic number.

49868928 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 49868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72857070).

49868928 is an abundant number, since it is smaller than the sum of its proper divisors (95845212).

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

49868928 is a wasteful number, since it uses less digits than its factorization.

49868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 49868928 is about 7061.7935398877. The cubic root of 49868928 is about 368.0809525751.

The spelling of 49868928 in words is "forty-nine million, eight hundred sixty-eight thousand, nine hundred twenty-eight".