4927628200 has 192 divisors, whose sum is σ = 12792841920. Its totient is φ = 1764857600.

The previous prime is 4927628179. The next prime is 4927628221. The reversal of 4927628200 is 28267294.

It is an interprime number because it is at equal distance from previous prime (4927628179) and next prime (4927628221).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28483314 + ... + 28483486.

It is an arithmetic number, because the mean of its divisors is an integer number (66629385).

Almost surely, 2^4927628200 is an apocalyptic number.

4927628200 is a gapful number since it is divisible by the number (40) 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 4927628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396420960).

4927628200 is an abundant number, since it is smaller than the sum of its proper divisors (7865213720).

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

4927628200 is a wasteful number, since it uses less digits than its factorization.

4927628200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4927628200 is about 70197.0668902911. The cubic root of 4927628200 is about 1701.6855485276.

The spelling of 4927628200 in words is "four billion, nine hundred twenty-seven million, six hundred twenty-eight thousand, two hundred".