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28771200 = 27355237
BaseRepresentation
bin110110111000…
…0001110000000
32000010201200000
41231300032000
524331134300
62504400000
7466360023
oct155601600
960121600
1028771200
1115271257
129776000
135c648a3
143b6d1ba
1527d4c00
hex1b70380

28771200 has 288 divisors, whose sum is σ = 109341960. Its totient is φ = 7464960.

The previous prime is 28771181. The next prime is 28771201. The reversal of 28771200 is 217782.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28771201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777582 + ... + 777618.

Almost surely, 228771200 is an apocalyptic number.

28771200 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 28771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54670980).

28771200 is an abundant number, since it is smaller than the sum of its proper divisors (80570760).

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

28771200 is an equidigital number, since it uses as much as digits as its factorization.

28771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 28771200 is about 5363.8791932705. The cubic root of 28771200 is about 306.4215642893.

Adding to 28771200 its reverse (217782), we get a palindrome (28988982).

The spelling of 28771200 in words is "twenty-eight million, seven hundred seventy-one thousand, two hundred".