49429728 has 72 divisors (see below), whose sum is σ = 142997400. Its totient is φ = 16191744.

The previous prime is 49429657. The next prime is 49429753. The reversal of 49429728 is 82792494.

49429728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15538 + ... + 18446.

It is an arithmetic number, because the mean of its divisors is an integer number (1986075).

Almost surely, 2^49429728 is an apocalyptic number.

49429728 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 49429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71498700).

49429728 is an abundant number, since it is smaller than the sum of its proper divisors (93567672).

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

49429728 is a wasteful number, since it uses less digits than its factorization.

49429728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2973 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49429728 is about 7030.6278524752. The cubic root of 49429728 is about 366.9971910384.

The spelling of 49429728 in words is "forty-nine million, four hundred twenty-nine thousand, seven hundred twenty-eight".