48727800 has 288 divisors, whose sum is σ = 188023680. Its totient is φ = 11193600.

The previous prime is 48727781. The next prime is 48727807. The reversal of 48727800 is 872784.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48727807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455347 + ... + 455453.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^48727800 is an apocalyptic number.

48727800 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 48727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

48727800 is an abundant number, since it is smaller than the sum of its proper divisors (139295880).

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

48727800 is a wasteful number, since it uses less digits than its factorization.

48727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 48727800 is about 6980.5300658331. The cubic root of 48727800 is about 365.2517185274.

The spelling of 48727800 in words is "forty-eight million, seven hundred twenty-seven thousand, eight hundred".