5028249600 has 612 divisors, whose sum is σ = 20283499392. Its totient is φ = 1179648000.

The previous prime is 5028249559. The next prime is 5028249601. The reversal of 5028249600 is 69428205.

It is a happy number.

5028249600 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 2 + 49 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028249601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162201585 + ... + 162201615.

Almost surely, 2^5028249600 is an apocalyptic number.

5028249600 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 5028249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141749696).

5028249600 is an abundant number, since it is smaller than the sum of its proper divisors (15255249792).

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

5028249600 is a wasteful number, since it uses less digits than its factorization.

5028249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

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

The square root of 5028249600 is about 70910.1516004584. The cubic root of 5028249600 is about 1713.1903097247.

The spelling of 5028249600 in words is "five billion, twenty-eight million, two hundred forty-nine thousand, six hundred".