28687514100 has 144 divisors (see below), whose sum is σ = 96003522048. Its totient is φ = 6478104960.

The previous prime is 28687514071. The next prime is 28687514101. The reversal of 28687514100 is 141578682.

It is a super-3 number, since 3×28687514100³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28687514101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92007 + ... + 256593.

Almost surely, 2^28687514100 is an apocalyptic number.

28687514100 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 28687514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48001761024).

28687514100 is an abundant number, since it is smaller than the sum of its proper divisors (67316007948).

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

28687514100 is a wasteful number, since it uses less digits than its factorization.

28687514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164694 (or 164687 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 28687514100 in words is "twenty-eight billion, six hundred eighty-seven million, five hundred fourteen thousand, one hundred".