28694100 has 72 divisors (see below), whose sum is σ = 83932128. Its totient is φ = 7568000.

The previous prime is 28694053. The next prime is 28694117. The reversal of 28694100 is 149682.

28694100 is a nontrivial binomial coefficient, being equal to C(7576, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 29827 + ... + 30773.

It is an arithmetic number, because the mean of its divisors is an integer number (1165724).

Almost surely, 2^28694100 is an apocalyptic number.

28694100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28694100 is the 7575-th triangular number and also the 3788-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28694100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41966064).

28694100 is an abundant number, since it is smaller than the sum of its proper divisors (55238028).

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

28694100 is a wasteful number, since it uses less digits than its factorization.

28694100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 28694100 is about 5356.6874092110. The cubic root of 28694100 is about 306.1476070299.

The spelling of 28694100 in words is "twenty-eight million, six hundred ninety-four thousand, one hundred".