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28064970 = 23251991567
BaseRepresentation
bin110101100001…
…1110011001010
31221210211220100
41223003303022
524141034340
62441310230
7460356033
oct153036312
957724810
1028064970
111492969a
129495376
135a782bb
143a27a8a
1526e5830
hex1ac3cca

28064970 has 48 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 7441632.

The previous prime is 28064963. The next prime is 28064989. The reversal of 28064970 is 7946082.

28064970 is a `hidden beast` number, since 2 + 8 + 0 + 649 + 7 + 0 = 666.

It is a super-2 number, since 2×280649702 = 1575285082201800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17127 + ... + 18693.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 228064970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28064970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

28064970 is an abundant number, since it is smaller than the sum of its proper divisors (45317430).

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

28064970 is a wasteful number, since it uses less digits than its factorization.

28064970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28064970 is about 5297.6381529886. The cubic root of 28064970 is about 303.8935814610.

It can be divided in two parts, 2806 and 4970, that added together give a 5-th power (7776 = 65).

The spelling of 28064970 in words is "twenty-eight million, sixty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1567 1791 1990 2985 3134 3582 4701 5970 7835 8955 9402 14103 15670 17910 23505 28206 47010 70515 141030 311833 623666 935499 1559165 1870998 2806497 3118330 4677495 5612994 9354990 14032485 28064970