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28233072 = 2432737757
BaseRepresentation
bin110101110110…
…0110101110000
31222010101111100
41223230311300
524211424242
62445044400
7461656110
oct153546560
958111440
1028233072
1114a33a1a
129556700
135b0697a
143a6d040
15272a54c
hex1aecd70

28233072 has 120 divisors (see below), whose sum is σ = 92864096. Its totient is φ = 7838208.

The previous prime is 28233061. The next prime is 28233077. The reversal of 28233072 is 27033282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28233077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36918 + ... + 37674.

Almost surely, 228233072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28233072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46432048).

28233072 is an abundant number, since it is smaller than the sum of its proper divisors (64631024).

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

28233072 is a wasteful number, since it uses less digits than its factorization.

28233072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 28233072 is about 5313.4802154520. The cubic root of 28233072 is about 304.4991223575.

The spelling of 28233072 in words is "twenty-eight million, two hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 757 777 888 1008 1036 1332 1514 1554 1776 2072 2271 2331 2664 3028 3108 4144 4542 4662 5299 5328 6056 6216 6813 9084 9324 10598 12112 12432 13626 15897 18168 18648 21196 27252 28009 31794 36336 37296 42392 47691 54504 56018 63588 84027 84784 95382 109008 112036 127176 168054 190764 196063 224072 252081 254352 336108 381528 392126 448144 504162 588189 672216 763056 784252 1008324 1176378 1344432 1568504 1764567 2016648 2352756 3137008 3529134 4033296 4705512 7058268 9411024 14116536 28233072