28419600 has 120 divisors (see below), whose sum is σ = 99359712. Its totient is φ = 6886400.

The previous prime is 28419593. The next prime is 28419619. The reversal of 28419600 is 691482.

It is a tau number, because it is divible by the number of its divisors (120).

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, 12124 + ... + 14276.

Almost surely, 2^28419600 is an apocalyptic number.

28419600 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 28419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49679856).

28419600 is an abundant number, since it is smaller than the sum of its proper divisors (70940112).

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

28419600 is a wasteful number, since it uses less digits than its factorization.

28419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2174 counting only the distinct ones).

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

The square root of 28419600 is about 5331.0036578491. The cubic root of 28419600 is about 305.1682311177.

The spelling of 28419600 in words is "twenty-eight million, four hundred nineteen thousand, six hundred".