48967633728 has 504 divisors, whose sum is σ = 162968123136. Its totient is φ = 14556672000.

The previous prime is 48967633727. The next prime is 48967633747. The reversal of 48967633728 is 82733676984.

48967633728 is a `hidden beast` number, since 489 + 67 + 63 + 37 + 2 + 8 = 666.

It is a super-3 number, since 3×48967633728³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48967633721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81476628 + ... + 81477228.

Almost surely, 2^48967633728 is an apocalyptic number.

48967633728 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 48967633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81484061568).

48967633728 is an abundant number, since it is smaller than the sum of its proper divisors (114000489408).

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

48967633728 is a wasteful number, since it uses less digits than its factorization.

48967633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 650 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 48967633728 in words is "forty-eight billion, nine hundred sixty-seven million, six hundred thirty-three thousand, seven hundred twenty-eight".