5629029984 has 96 divisors (see below), whose sum is σ = 17282160000. Its totient is φ = 1777583232.

The previous prime is 5629029983. The next prime is 5629029997. The reversal of 5629029984 is 4899209265.

It is a happy number.

5629029984 is a `hidden beast` number, since 5 + 629 + 0 + 2 + 9 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5629029984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629029983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155034 + ... + 187865.

It is an arithmetic number, because the mean of its divisors is an integer number (180022500).

Almost surely, 2^5629029984 is an apocalyptic number.

5629029984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5629029984 is an abundant number, since it is smaller than the sum of its proper divisors (11653130016).

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

5629029984 is a wasteful number, since it uses less digits than its factorization.

5629029984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342937 (or 342923 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 5629029984 is about 75026.8617496427. The cubic root of 5629029984 is about 1778.8712685786.

The spelling of 5629029984 in words is "five billion, six hundred twenty-nine million, twenty-nine thousand, nine hundred eighty-four".