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28751400 = 23325215973
BaseRepresentation
bin110110110101…
…1011000101000
32000002201111200
41231223120220
524330021100
62504124200
7466245216
oct155533050
960081450
1028751400
1115258397
129766660
135c58882
143b65cb6
1527cde00
hex1b6b628

28751400 has 72 divisors (see below), whose sum is σ = 96562830. Its totient is φ = 7666560.

The previous prime is 28751399. The next prime is 28751417. The reversal of 28751400 is 415782.

It can be written as a sum of positive squares in 3 ways, for example, as 24265476 + 4485924 = 4926^2 + 2118^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

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 17 ways as a sum of consecutive naturals, for example, 6187 + ... + 9786.

Almost surely, 228751400 is an apocalyptic number.

28751400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28751400 is an abundant number, since it is smaller than the sum of its proper divisors (67811430).

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

28751400 is a wasteful number, since it uses less digits than its factorization.

28751400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15995 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28751400 is about 5362.0331964657. The cubic root of 28751400 is about 306.3512562581.

The spelling of 28751400 in words is "twenty-eight million, seven hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 15973 31946 47919 63892 79865 95838 127784 143757 159730 191676 239595 287514 319460 383352 399325 479190 575028 638920 718785 798650 958380 1150056 1197975 1437570 1597300 1916760 2395950 2875140 3194600 3593925 4791900 5750280 7187850 9583800 14375700 28751400