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28445760 = 2632571783
BaseRepresentation
bin110110010000…
…0110001000000
31222112012020200
41230200301000
524240231020
62453405200
7463533150
oct154406100
958465220
1028445760
11150697a2
129639800
135b7c715
143ac6760
15276d590
hex1b20c40

28445760 has 336 divisors, whose sum is σ = 119822976. Its totient is φ = 6045696.

The previous prime is 28445749. The next prime is 28445761. The reversal of 28445760 is 6754482.

28445760 is a `hidden beast` number, since 2 + 84 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×284457602 = 1618322523955200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28445761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342679 + ... + 342761.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 228445760 is an apocalyptic number.

28445760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

28445760 is an abundant number, since it is smaller than the sum of its proper divisors (91377216).

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

28445760 is a wasteful number, since it uses less digits than its factorization.

28445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 28445760 is about 5333.4566652407. The cubic root of 28445760 is about 305.2618373224.

The spelling of 28445760 in words is "twenty-eight million, four hundred forty-five thousand, seven hundred sixty".