28138872300 has 216 divisors, whose sum is σ = 103317762240. Its totient is φ = 5847004800.

The previous prime is 28138872271. The next prime is 28138872337. The reversal of 28138872300 is 327883182.

It is a super-2 number, since 2×28138872300² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74691 + ... + 248709.

Almost surely, 2^28138872300 is an apocalyptic number.

28138872300 is a gapful number since it is divisible by the number (20) 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 28138872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51658881120).

28138872300 is an abundant number, since it is smaller than the sum of its proper divisors (75178889940).

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

28138872300 is a wasteful number, since it uses less digits than its factorization.

28138872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174061 (or 174047 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 28138872300 in words is "twenty-eight billion, one hundred thirty-eight million, eight hundred seventy-two thousand, three hundred".