28706400 has 180 divisors, whose sum is σ = 104922972. Its totient is φ = 7637760.

The previous prime is 28706399. The next prime is 28706401. The reversal of 28706400 is 460782.

It is an interprime number because it is at equal distance from previous prime (28706399) and next prime (28706401).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28706401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64579 + ... + 65021.

Almost surely, 2^28706400 is an apocalyptic number.

28706400 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 28706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52461486).

28706400 is an abundant number, since it is smaller than the sum of its proper divisors (76216572).

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

28706400 is a wasteful number, since it uses less digits than its factorization.

28706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 28706400 is about 5357.8353838094. The cubic root of 28706400 is about 306.1913451461.

The spelling of 28706400 in words is "twenty-eight million, seven hundred six thousand, four hundred".