49349328 has 80 divisors (see below), whose sum is σ = 146645376. Its totient is φ = 14008320.

The previous prime is 49349263. The next prime is 49349347. The reversal of 49349328 is 82394394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (186624) is a multiple of the sum of its prime factors (972).

It is a self number, because there is not a number n which added to its sum of digits gives 49349328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64468 + ... + 65228.

Almost surely, 2^49349328 is an apocalyptic number.

49349328 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 49349328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322688).

49349328 is an abundant number, since it is smaller than the sum of its proper divisors (97296048).

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

49349328 is a wasteful number, since it uses less digits than its factorization.

49349328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 49349328 is about 7024.9076862262. The cubic root of 49349328 is about 366.7981031088.

It can be divided in two parts, 493493 and 28, that added together give a triangular number (493521 = T₉₉₃).

The spelling of 49349328 in words is "forty-nine million, three hundred forty-nine thousand, three hundred twenty-eight".