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28153164 = 22313251719
BaseRepresentation
bin110101101100…
…1010101001100
31221222022212210
41223121111030
524201400124
62443230420
7461204124
oct153312514
957868783
1028153164
1114989986
129518410
135aa94a0
143a4bc84
152711a29
hex1ad954c

28153164 has 48 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 8616000.

The previous prime is 28153163. The next prime is 28153201. The reversal of 28153164 is 46135182.

It is not an unprimeable number, because it can be changed into a prime (28153163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38797 + ... + 39515.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 228153164 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 28153164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

28153164 is an abundant number, since it is smaller than the sum of its proper divisors (42971316).

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

28153164 is a wasteful number, since it uses less digits than its factorization.

28153164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 28153164 is about 5305.9555218641. The cubic root of 28153164 is about 304.2115765134.

The spelling of 28153164 in words is "twenty-eight million, one hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 719 753 1004 1438 1506 2157 2876 3012 3263 4314 6526 8628 9347 9789 13052 18694 19578 28041 37388 39156 56082 112164 180469 360938 541407 721876 1082814 2165628 2346097 4692194 7038291 9384388 14076582 28153164