49935637728 has 96 divisors (see below), whose sum is σ = 145804730400. Its totient is φ = 16627027968.

The previous prime is 49935637699. The next prime is 49935637757. The reversal of 49935637728 is 82773653994.

49935637728 is a `hidden beast` number, since 49 + 9 + 3 + 563 + 7 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (49935637699) and next prime (49935637757).

It is a tau number, because it is divible by the number of its divisors (96).

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, 771550 + ... + 833762.

It is an arithmetic number, because the mean of its divisors is an integer number (1518799275).

Almost surely, 2^49935637728 is an apocalyptic number.

49935637728 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 49935637728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72902365200).

49935637728 is an abundant number, since it is smaller than the sum of its proper divisors (95869092672).

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

49935637728 is a wasteful number, since it uses less digits than its factorization.

49935637728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63161 (or 63147 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 49935637728 in words is "forty-nine billion, nine hundred thirty-five million, six hundred thirty-seven thousand, seven hundred twenty-eight".