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28926900 = 22325232141
BaseRepresentation
bin110111001011…
…0001110110100
32000102122020200
41232112032310
524401130100
62512000500
7500605662
oct156261664
960378220
1028926900
1115368232
129830130
135cba712
143badc32
152815e00
hex1b963b4

28926900 has 54 divisors (see below), whose sum is σ = 90672582. Its totient is φ = 7713600.

The previous prime is 28926899. The next prime is 28926901. The reversal of 28926900 is 962982.

It is an interprime number because it is at equal distance from previous prime (28926899) and next prime (28926901).

It can be written as a sum of positive squares in 3 ways, for example, as 8892324 + 20034576 = 2982^2 + 4476^2 .

It is a super-2 number, since 2×289269002 = 1673531087220000, which contains 22 as substring.

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 (28926901) 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, 15171 + ... + 16970.

Almost surely, 228926900 is an apocalyptic number.

28926900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28926900 is an abundant number, since it is smaller than the sum of its proper divisors (61745682).

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

28926900 is a wasteful number, since it uses less digits than its factorization.

28926900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32161 (or 32151 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 28926900 is about 5378.3733600411. The cubic root of 28926900 is about 306.9733201217.

The spelling of 28926900 in words is "twenty-eight million, nine hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 32141 64282 96423 128564 160705 192846 289269 321410 385692 482115 578538 642820 803525 964230 1157076 1446345 1607050 1928460 2410575 2892690 3214100 4821150 5785380 7231725 9642300 14463450 28926900