49609728 has 132 divisors (see below), whose sum is σ = 163923760. Its totient is φ = 14155776.

The previous prime is 49609727. The next prime is 49609733. The reversal of 49609728 is 82790694.

It is a happy number.

It is a super-2 number, since 2×49609728² = 4922250224467968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49609727) 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, 64128 + ... + 64896.

Almost surely, 2^49609728 is an apocalyptic number.

49609728 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 49609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81961880).

49609728 is an abundant number, since it is smaller than the sum of its proper divisors (114314032).

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

49609728 is a wasteful number, since it uses less digits than its factorization.

49609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49609728 is about 7043.4173523937. The cubic root of 49609728 is about 367.4421288854.

The spelling of 49609728 in words is "forty-nine million, six hundred nine thousand, seven hundred twenty-eight".