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28458900 = 223252103307
BaseRepresentation
bin110110010001…
…1111110010100
31222112212021100
41230203332110
524241141100
62453550100
7463616361
oct154437624
958485240
1028458900
1115078658
129645330
135b856b2
143acb468
152772400
hex1b23f94

28458900 has 108 divisors (see below), whose sum is σ = 90362272. Its totient is φ = 7490880.

The previous prime is 28458893. The next prime is 28458917. The reversal of 28458900 is 985482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92547 + ... + 92853.

Almost surely, 228458900 is an apocalyptic number.

28458900 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 28458900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45181136).

28458900 is an abundant number, since it is smaller than the sum of its proper divisors (61903372).

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

28458900 is a wasteful number, since it uses less digits than its factorization.

28458900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28458900 is about 5334.6883695301. The cubic root of 28458900 is about 305.3088334662.

The spelling of 28458900 in words is "twenty-eight million, four hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 307 309 412 450 515 614 618 900 921 927 1030 1228 1236 1535 1545 1842 1854 2060 2575 2763 3070 3090 3684 3708 4605 4635 5150 5526 6140 6180 7675 7725 9210 9270 10300 11052 13815 15350 15450 18420 18540 23025 23175 27630 30700 30900 31621 46050 46350 55260 63242 69075 92100 92700 94863 126484 138150 158105 189726 276300 284589 316210 379452 474315 569178 632420 790525 948630 1138356 1422945 1581050 1897260 2371575 2845890 3162100 4743150 5691780 7114725 9486300 14229450 28458900