5929633728 has 224 divisors, whose sum is σ = 18723985920. Its totient is φ = 1833431040.

The previous prime is 5929633621. The next prime is 5929633729. The reversal of 5929633728 is 8273369295.

It is a happy number.

It is a super-3 number, since 3×5929633728³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5929633729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2084275 + ... + 2087117.

Almost surely, 2^5929633728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5929633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361992960).

5929633728 is an abundant number, since it is smaller than the sum of its proper divisors (12794352192).

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

5929633728 is a wasteful number, since it uses less digits than its factorization.

5929633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2936 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 5929633728 is about 77004.1150069267. The cubic root of 5929633728 is about 1809.9890853304.

The spelling of 5929633728 in words is "five billion, nine hundred twenty-nine million, six hundred thirty-three thousand, seven hundred twenty-eight".