4933288800 has 504 divisors, whose sum is σ = 19723971960. Its totient is φ = 1194393600.

The previous prime is 4933288771. The next prime is 4933288831. The reversal of 4933288800 is 88823394.

4933288800 is a `hidden beast` number, since 493 + 3 + 2 + 88 + 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 83 ways as a sum of consecutive naturals, for example, 6414816 + ... + 6415584.

It is an arithmetic number, because the mean of its divisors is an integer number (39134865).

Almost surely, 2^4933288800 is an apocalyptic number.

4933288800 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 4933288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861985980).

4933288800 is an abundant number, since it is smaller than the sum of its proper divisors (14790683160).

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

4933288800 is a wasteful number, since it uses less digits than its factorization.

4933288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4933288800 is about 70237.3746661989. The cubic root of 4933288800 is about 1702.3369014516.

The spelling of 4933288800 in words is "four billion, nine hundred thirty-three million, two hundred eighty-eight thousand, eight hundred".