5629824000 has 528 divisors, whose sum is σ = 21155106336. Its totient is φ = 1492992000.

The previous prime is 5629823981. The next prime is 5629824001. The reversal of 5629824000 is 4289265.

It is a happy number.

5629824000 is a `hidden beast` number, since 5 + 629 + 8 + 24 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5629824001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31103910 + ... + 31104090.

Almost surely, 2^5629824000 is an apocalyptic number.

5629824000 is a gapful number since it is divisible by the number (50) 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 5629824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577553168).

5629824000 is an abundant number, since it is smaller than the sum of its proper divisors (15525282336).

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

5629824000 is an equidigital number, since it uses as much as digits as its factorization.

5629824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5629824000 is about 75032.1531078510. The cubic root of 5629824000 is about 1778.9549055963.

The spelling of 5629824000 in words is "five billion, six hundred twenty-nine million, eight hundred twenty-four thousand".