48028780800 has 2592 divisors, whose sum is σ = 249096556800. Its totient is φ = 8670412800.

The previous prime is 48028780799. The next prime is 48028780861. The reversal of 48028780800 is 808782084.

48028780800 is a `hidden beast` number, since 480 + 28 + 78 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2825222392 + ... + 2825222408.

Almost surely, 2^48028780800 is an apocalyptic number.

48028780800 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 48028780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124548278400).

48028780800 is an abundant number, since it is smaller than the sum of its proper divisors (201067776000).

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

48028780800 is a wasteful number, since it uses less digits than its factorization.

48028780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

It can be divided in two parts, 48028 and 780800, that added together give a palindrome (828828).

The spelling of 48028780800 in words is "forty-eight billion, twenty-eight million, seven hundred eighty thousand, eight hundred".