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28314468 = 22337134367
BaseRepresentation
bin110110000000…
…0101101100100
31222021112011000
41230000231210
524222030333
62450513300
7462445320
oct154005544
958245130
1028314468
1114a8a096
129595830
135b34a30
143a90980
152744713
hex1b00b64

28314468 has 192 divisors, whose sum is σ = 93829120. Its totient is φ = 7185024.

The previous prime is 28314467. The next prime is 28314487. The reversal of 28314468 is 86441382.

It is a super-3 number, since 3×283144683 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28314467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422571 + ... + 422637.

Almost surely, 228314468 is an apocalyptic number.

28314468 is a gapful number since it is divisible by the number (28) 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 28314468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46914560).

28314468 is an abundant number, since it is smaller than the sum of its proper divisors (65514652).

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

28314468 is a wasteful number, since it uses less digits than its factorization.

28314468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 28314468 is about 5321.1340896467. The cubic root of 28314468 is about 304.7914654440.

It can be divided in two parts, 28314 and 468, that added together give a palindrome (28782).

The spelling of 28314468 in words is "twenty-eight million, three hundred fourteen thousand, four hundred sixty-eight".