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28688625 = 325373643
BaseRepresentation
bin110110101110…
…0000011110001
31222222112101200
41231130003301
524321014000
62502521413
7465564210
oct155340361
958875350
1028688625
1115215209
129736269
135c36124
143b4b077
1527ba500
hex1b5c0f1

28688625 has 48 divisors (see below), whose sum is σ = 59120256. Its totient is φ = 13111200.

The previous prime is 28688617. The next prime is 28688633. The reversal of 28688625 is 52688682.

It is an interprime number because it is at equal distance from previous prime (28688617) and next prime (28688633).

It is not a de Polignac number, because 28688625 - 23 = 28688617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 6054 + ... + 9696.

It is an arithmetic number, because the mean of its divisors is an integer number (1231672).

Almost surely, 228688625 is an apocalyptic number.

28688625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28688625 is an abundant number, since it is smaller than the sum of its proper divisors (30431631).

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

28688625 is a wasteful number, since it uses less digits than its factorization.

28688625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3658 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 28688625 is about 5356.1763413838. The cubic root of 28688625 is about 306.1281342141.

The spelling of 28688625 in words is "twenty-eight million, six hundred eighty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 3643 7875 10929 18215 25501 32787 54645 76503 91075 127505 163935 229509 273225 382515 455375 637525 819675 1147545 1366125 1912575 3187625 4098375 5737725 9562875 28688625