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28917000 = 233553717
BaseRepresentation
bin110111001001…
…1110100001000
32000102010200000
41232103310020
524400321000
62511443000
7500535060
oct156236410
960363600
1028917000
1115360852
129826460
135cb6068
143baa3a0
152813000
hex1b93d08

28917000 has 384 divisors, whose sum is σ = 122653440. Its totient is φ = 6220800.

The previous prime is 28916981. The next prime is 28917029. The reversal of 28917000 is 71982.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700992 + ... + 1701008.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 228917000 is an apocalyptic number.

28917000 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 28917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

28917000 is an abundant number, since it is smaller than the sum of its proper divisors (93736440).

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

28917000 is a wasteful number, since it uses less digits than its factorization.

28917000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 28917000 is about 5377.4529286643. The cubic root of 28917000 is about 306.9382964052.

Adding to 28917000 its reverse (71982), we get a palindrome (28988982).

It can be divided in two parts, 289 and 17000, that multiplied together give a cube (4913000 = 1703).

The spelling of 28917000 in words is "twenty-eight million, nine hundred seventeen thousand".