4628635200 has 504 divisors, whose sum is σ = 19221126912. Its totient is φ = 1034403840.

The previous prime is 4628635177. The next prime is 4628635217. The reversal of 4628635200 is 25368264.

4628635200 is a `hidden beast` number, since 4 + 628 + 6 + 3 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4737112 + ... + 4738088.

Almost surely, 2^4628635200 is an apocalyptic number.

4628635200 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 4628635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610563456).

4628635200 is an abundant number, since it is smaller than the sum of its proper divisors (14592491712).

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

4628635200 is a wasteful number, since it uses less digits than its factorization.

4628635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4628635200 is about 68034.0738159931. The cubic root of 4628635200 is about 1666.5473265661.

The spelling of 4628635200 in words is "four billion, six hundred twenty-eight million, six hundred thirty-five thousand, two hundred".