48436835328 has 352 divisors, whose sum is σ = 165541708800. Its totient is φ = 13703897088.

The previous prime is 48436835323. The next prime is 48436835357. The reversal of 48436835328 is 82353863484.

48436835328 is a `hidden beast` number, since 4 + 8 + 43 + 68 + 3 + 532 + 8 = 666.

It is a super-2 number, since 2×48436835328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48436835323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20707183 + ... + 20709521.

Almost surely, 2^48436835328 is an apocalyptic number.

48436835328 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 48436835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82770854400).

48436835328 is an abundant number, since it is smaller than the sum of its proper divisors (117104873472).

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

48436835328 is a wasteful number, since it uses less digits than its factorization.

48436835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2458 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 48436835328 in words is "forty-eight billion, four hundred thirty-six million, eight hundred thirty-five thousand, three hundred twenty-eight".