49987728 has 120 divisors (see below), whose sum is σ = 161793216. Its totient is φ = 14112000.

The previous prime is 49987711. The next prime is 49987739. The reversal of 49987728 is 82778994.

49987728 is a `hidden beast` number, since 499 + 87 + 72 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101563 + ... + 102053.

Almost surely, 2^49987728 is an apocalyptic number.

49987728 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 49987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80896608).

49987728 is an abundant number, since it is smaller than the sum of its proper divisors (111805488).

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

49987728 is a wasteful number, since it uses less digits than its factorization.

49987728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 49987728 is about 7070.1999971712. The cubic root of 49987728 is about 368.3730071081.

The spelling of 49987728 in words is "forty-nine million, nine hundred eighty-seven thousand, seven hundred twenty-eight".