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28405152 = 25321929179
BaseRepresentation
bin110110001011…
…0110110100000
31222110010112200
41230112312200
524232431102
62452453200
7463303566
oct154266640
958403480
1028405152
1115041236
12961a200
135b670a9
143ab5a36
15276151c
hex1b16da0

28405152 has 144 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 8612352.

The previous prime is 28405141. The next prime is 28405187. The reversal of 28405152 is 25150482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158599 + ... + 158777.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 228405152 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 28405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

28405152 is an abundant number, since it is smaller than the sum of its proper divisors (60046848).

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

28405152 is a wasteful number, since it uses less digits than its factorization.

28405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 28405152 is about 5329.6483936560. The cubic root of 28405152 is about 305.1165083867.

The spelling of 28405152 in words is "twenty-eight million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 72 76 87 96 114 116 144 152 171 174 179 228 232 261 288 304 342 348 358 456 464 522 537 551 608 684 696 716 912 928 1044 1074 1102 1368 1392 1432 1611 1653 1824 2088 2148 2204 2736 2784 2864 3222 3306 3401 4176 4296 4408 4959 5191 5472 5728 6444 6612 6802 8352 8592 8816 9918 10203 10382 12888 13224 13604 15573 17184 17632 19836 20406 20764 25776 26448 27208 30609 31146 39672 40812 41528 46719 51552 52896 54416 61218 62292 79344 81624 83056 93438 98629 108832 122436 124584 158688 163248 166112 186876 197258 244872 249168 295887 326496 373752 394516 489744 498336 591774 747504 789032 887661 979488 1183548 1495008 1578064 1775322 2367096 3156128 3550644 4734192 7101288 9468384 14202576 28405152