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28835400 = 233521117257
BaseRepresentation
bin110110111111…
…1111001001000
32000020222201210
41231333321020
524340213100
62510013120
7500045136
oct155777110
960228653
1028835400
1115305510
1297a71a0
135c87b89
143b88756
1527e8c50
hex1b7fe48

28835400 has 192 divisors, whose sum is σ = 103654080. Its totient is φ = 6553600.

The previous prime is 28835357. The next prime is 28835431. The reversal of 28835400 is 453882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112072 + ... + 112328.

It is an arithmetic number, because the mean of its divisors is an integer number (539865).

Almost surely, 228835400 is an apocalyptic number.

28835400 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 28835400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51827040).

28835400 is an abundant number, since it is smaller than the sum of its proper divisors (74818680).

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

28835400 is a wasteful number, since it uses less digits than its factorization.

28835400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28835400 is about 5369.8603333793. The cubic root of 28835400 is about 306.6493111371.

The spelling of 28835400 in words is "twenty-eight million, eight hundred thirty-five thousand, four hundred".