48628224000 has 624 divisors, whose sum is σ = 179203222224. Its totient is φ = 12681216000.

The previous prime is 48628223989. The next prime is 48628224031. The reversal of 48628224000 is 42282684.

It is a happy number.

48628224000 is a `hidden beast` number, since 4 + 8 + 628 + 2 + 24 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18635526144 + 29992697856 = 136512^2 + 173184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281087914 + ... + 281088086.

It is an arithmetic number, because the mean of its divisors is an integer number (287184651).

Almost surely, 2^48628224000 is an apocalyptic number.

48628224000 is a gapful number since it is divisible by the number (40) 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 48628224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89601611112).

48628224000 is an abundant number, since it is smaller than the sum of its proper divisors (130574998224).

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

48628224000 is a wasteful number, since it uses less digits than its factorization.

48628224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48628224000 in words is "forty-eight billion, six hundred twenty-eight million, two hundred twenty-four thousand".