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28711800 = 23335213409
BaseRepresentation
bin110110110000…
…1101101111000
32000000201012000
41231201231320
524322234200
62503221000
7466021605
oct155415570
960021160
1028711800
1115230667
129747760
135c43840
143b556ac
1527c2300
hex1b61b78

28711800 has 192 divisors, whose sum is σ = 106764000. Its totient is φ = 7050240.

The previous prime is 28711777. The next prime is 28711801. The reversal of 28711800 is 811782.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (28711801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69996 + ... + 70404.

Almost surely, 228711800 is an apocalyptic number.

28711800 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 28711800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53382000).

28711800 is an abundant number, since it is smaller than the sum of its proper divisors (78052200).

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

28711800 is a wasteful number, since it uses less digits than its factorization.

28711800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 28711800 is about 5358.3392949682. The cubic root of 28711800 is about 306.2105432993.

The spelling of 28711800 in words is "twenty-eight million, seven hundred eleven thousand, eight hundred".