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28122264 = 23321372851
BaseRepresentation
bin110101101000…
…1110010011000
31221220202111100
41223101302120
524144403024
62442431400
7461015052
oct153216230
957822440
1028122264
1114968745
129502560
135a983c1
143a408d2
1527077c9
hex1ad1c98

28122264 has 48 divisors (see below), whose sum is σ = 76747320. Its totient is φ = 9302400.

The previous prime is 28122253. The next prime is 28122271. The reversal of 28122264 is 46222182.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8439 + ... + 11289.

Almost surely, 228122264 is an apocalyptic number.

28122264 is a gapful number since it is divisible by the number (24) 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 28122264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38373660).

28122264 is an abundant number, since it is smaller than the sum of its proper divisors (48625056).

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

28122264 is a wasteful number, since it uses less digits than its factorization.

28122264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2993 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 28122264 is about 5303.0429000716. The cubic root of 28122264 is about 304.1002381820.

The spelling of 28122264 in words is "twenty-eight million, one hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 2851 3288 4932 5702 8553 9864 11404 17106 22808 25659 34212 51318 68424 102636 205272 390587 781174 1171761 1562348 2343522 3124696 3515283 4687044 7030566 9374088 14061132 28122264