49288032 has 72 divisors (see below), whose sum is σ = 148422456. Its totient is φ = 15461376.

The previous prime is 49288003. The next prime is 49288037. The reversal of 49288032 is 23088294.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49288037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (2061423).

Almost surely, 2^49288032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74211228).

49288032 is an abundant number, since it is smaller than the sum of its proper divisors (99134424).

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

49288032 is a wasteful number, since it uses less digits than its factorization.

49288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10089 counting only the distinct ones).

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

The square root of 49288032 is about 7020.5435686989. The cubic root of 49288032 is about 366.6461755307.

The spelling of 49288032 in words is "forty-nine million, two hundred eighty-eight thousand, thirty-two".