5729802624 has 320 divisors, whose sum is σ = 20990286240. Its totient is φ = 1510907904.

The previous prime is 5729802623. The next prime is 5729802667. The reversal of 5729802624 is 4262089275.

It is a self number, because there is not a number n which added to its sum of digits gives 5729802624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5729802623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 940452 + ... + 946524.

Almost surely, 2^5729802624 is an apocalyptic number.

5729802624 is a gapful number since it is divisible by the number (54) 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 5729802624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495143120).

5729802624 is an abundant number, since it is smaller than the sum of its proper divisors (15260483616).

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

5729802624 is a wasteful number, since it uses less digits than its factorization.

5729802624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5729802624 is about 75695.4597317435. The cubic root of 5729802624 is about 1789.4238466970.

The spelling of 5729802624 in words is "five billion, seven hundred twenty-nine million, eight hundred two thousand, six hundred twenty-four".