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28749456 = 2432434643
BaseRepresentation
bin110110110101…
…0111010010000
32000002121211200
41231222322100
524324440311
62504111200
7466236441
oct155527220
960077750
1028749456
111525698a
129765500
135c57a18
143b652c8
1527cd556
hex1b6ae90

28749456 has 60 divisors (see below), whose sum is σ = 82347408. Its totient is φ = 9358272.

The previous prime is 28749449. The next prime is 28749467. The reversal of 28749456 is 65494782.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 3871 + ... + 8513.

Almost surely, 228749456 is an apocalyptic number.

28749456 is the 3096-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28749456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41173704).

28749456 is an abundant number, since it is smaller than the sum of its proper divisors (53597952).

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

28749456 is a wasteful number, since it uses less digits than its factorization.

28749456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4691 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 28749456 is about 5361.8519188803. The cubic root of 28749456 is about 306.3443515477.

The spelling of 28749456 in words is "twenty-eight million, seven hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 4643 6192 9286 13929 18572 27858 37144 41787 55716 74288 83574 111432 167148 199649 222864 334296 399298 598947 668592 798596 1197894 1597192 1796841 2395788 3194384 3593682 4791576 7187364 9583152 14374728 28749456