8388728100 has 243 divisors, whose sum is σ = 27304202289. Its totient is φ = 2154196800.

The previous prime is 8388728083. The next prime is 8388728129. The reversal of 8388728100 is 18278838.

It is a happy number.

The square root of 8388728100 is 91590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3019942116 + 5368785984 = 54954^2 + 73272^2 .

It is a super-2 number, since 2×8388728100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 118151065 + ... + 118151135.

Almost surely, 2^8388728100 is an apocalyptic number.

8388728100 is the 91590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8388728100

8388728100 is an abundant number, since it is smaller than the sum of its proper divisors (18915474189).

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

8388728100 is a wasteful number, since it uses less digits than its factorization.

8388728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The cubic root of 8388728100 is about 2031.8830432741.

The spelling of 8388728100 in words is "eight billion, three hundred eighty-eight million, seven hundred twenty-eight thousand, one hundred".