49256928 has 144 divisors (see below), whose sum is σ = 163459296. Its totient is φ = 13777920.

The previous prime is 49256927. The next prime is 49256929. The reversal of 49256928 is 82965294.

It is an interprime number because it is at equal distance from previous prime (49256927) and next prime (49256929).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49256927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106618 + ... + 107078.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^49256928 is an apocalyptic number.

49256928 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 49256928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729648).

49256928 is an abundant number, since it is smaller than the sum of its proper divisors (114202368).

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

49256928 is a wasteful number, since it uses less digits than its factorization.

49256928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 49256928 is about 7018.3280060140. The cubic root of 49256928 is about 366.5690333257.

The spelling of 49256928 in words is "forty-nine million, two hundred fifty-six thousand, nine hundred twenty-eight".