48628285440 has 480 divisors, whose sum is σ = 185718113280. Its totient is φ = 10623123456.

The previous prime is 48628285411. The next prime is 48628285457. The reversal of 48628285440 is 4458282684.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39566746 + ... + 39567974.

It is an arithmetic number, because the mean of its divisors is an integer number (386912736).

Almost surely, 2^48628285440 is an apocalyptic number.

48628285440 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 48628285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92859056640).

48628285440 is an abundant number, since it is smaller than the sum of its proper divisors (137089827840).

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

48628285440 is a wasteful number, since it uses less digits than its factorization.

48628285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 51.

The spelling of 48628285440 in words is "forty-eight billion, six hundred twenty-eight million, two hundred eighty-five thousand, four hundred forty".