4628713100 has 72 divisors (see below), whose sum is σ = 11015294976. Its totient is φ = 1674280000.

The previous prime is 4628713073. The next prime is 4628713127. The reversal of 4628713100 is 13178264.

It is an interprime number because it is at equal distance from previous prime (4628713073) and next prime (4628713127).

It is a super-2 number, since 2×4628713100² = 42849969924223220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199085 + ... + 221115.

It is an arithmetic number, because the mean of its divisors is an integer number (152990208).

Almost surely, 2^4628713100 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 4628713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507647488).

4628713100 is an abundant number, since it is smaller than the sum of its proper divisors (6386581876).

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

4628713100 is a wasteful number, since it uses less digits than its factorization.

4628713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22247 (or 22240 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4628713100 is about 68034.6463208269. The cubic root of 4628713100 is about 1666.5566758525.

The spelling of 4628713100 in words is "four billion, six hundred twenty-eight million, seven hundred thirteen thousand, one hundred".