4832788400 has 180 divisors, whose sum is σ = 13178031552. Its totient is φ = 1700160000.

The previous prime is 4832788399. The next prime is 4832788421. The reversal of 4832788400 is 48872384.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1498790 + ... + 1502010.

Almost surely, 2^4832788400 is an apocalyptic number.

4832788400 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 4832788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589015776).

4832788400 is an abundant number, since it is smaller than the sum of its proper divisors (8345243152).

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

4832788400 is a wasteful number, since it uses less digits than its factorization.

4832788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The square root of 4832788400 is about 69518.2594718826. The cubic root of 4832788400 is about 1690.6975634169.

The spelling of 4832788400 in words is "four billion, eight hundred thirty-two million, seven hundred eighty-eight thousand, four hundred".