5628437640 has 576 divisors, whose sum is σ = 23108716800. Its totient is φ = 1161464832.

The previous prime is 5628437627. The next prime is 5628437641. The reversal of 5628437640 is 467348265.

5628437640 is a `hidden beast` number, since 562 + 8 + 43 + 7 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628437641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20923426 + ... + 20923694.

It is an arithmetic number, because the mean of its divisors is an integer number (40119300).

Almost surely, 2^5628437640 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 5628437640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554358400).

5628437640 is an abundant number, since it is smaller than the sum of its proper divisors (17480279160).

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

5628437640 is a wasteful number, since it uses less digits than its factorization.

5628437640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5628437640 is about 75022.9140996269. The cubic root of 5628437640 is about 1778.8088693915.

The spelling of 5628437640 in words is "five billion, six hundred twenty-eight million, four hundred thirty-seven thousand, six hundred forty".