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28570464 = 2532132587
BaseRepresentation
bin110110011111…
…1001101100000
31222202112022100
41230333031200
524303223324
62500210400
7464562546
oct154771540
958675270
1028570464
111514445a
129699a00
135bc4400
143b19d96
1527954c9
hex1b3f360

28570464 has 108 divisors (see below), whose sum is σ = 88127676. Its totient is φ = 8775936.

The previous prime is 28570459. The next prime is 28570469. The reversal of 28570464 is 46407582.

28570464 is a `hidden beast` number, since 28 + 570 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (28570459) and next prime (28570469).

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 (28570469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48379 + ... + 48965.

It is an arithmetic number, because the mean of its divisors is an integer number (815997).

Almost surely, 228570464 is an apocalyptic number.

28570464 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 28570464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44063838).

28570464 is an abundant number, since it is smaller than the sum of its proper divisors (59557212).

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

28570464 is a wasteful number, since it uses less digits than its factorization.

28570464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 28570464 is about 5345.1346100917. The cubic root of 28570464 is about 305.7072684297.

The spelling of 28570464 in words is "twenty-eight million, five hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 587 624 676 936 1014 1174 1248 1352 1521 1761 1872 2028 2348 2704 3042 3522 3744 4056 4696 5283 5408 6084 7044 7631 8112 9392 10566 12168 14088 15262 16224 18784 21132 22893 24336 28176 30524 42264 45786 48672 56352 61048 68679 84528 91572 99203 122096 137358 169056 183144 198406 244192 274716 297609 366288 396812 549432 595218 732576 793624 892827 1098864 1190436 1587248 1785654 2197728 2380872 3174496 3571308 4761744 7142616 9523488 14285232 28570464