28770000 has 200 divisors, whose sum is σ = 106915776. Its totient is φ = 6528000.

The previous prime is 28769999. The next prime is 28770011. The reversal of 28770000 is 7782.

28770000 = 241² + 242² + ... + 464².

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209932 + ... + 210068.

Almost surely, 2^28770000 is an apocalyptic number.

28770000 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 28770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53457888).

28770000 is an abundant number, since it is smaller than the sum of its proper divisors (78145776).

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

28770000 is a wasteful number, since it uses less digits than its factorization.

28770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 28770000 is about 5363.7673327616. The cubic root of 28770000 is about 306.4173041149.

Adding to 28770000 its reverse (7782), we get a palindrome (28777782).

The spelling of 28770000 in words is "twenty-eight million, seven hundred seventy thousand".