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28462080 = 2103517109
BaseRepresentation
bin110110010010…
…0110000000000
31222120000122010
41230210300000
524241241310
62454012520
7463631553
oct154446000
958500563
1028462080
111507aa89
129647140
135b86c8a
143acc69a
152773320
hex1b24c00

28462080 has 176 divisors, whose sum is σ = 97273440. Its totient is φ = 7077888.

The previous prime is 28462073. The next prime is 28462117. The reversal of 28462080 is 8026482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261066 + ... + 261174.

It is an arithmetic number, because the mean of its divisors is an integer number (552690).

Almost surely, 228462080 is an apocalyptic number.

28462080 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 28462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48636720).

28462080 is an abundant number, since it is smaller than the sum of its proper divisors (68811360).

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

28462080 is a wasteful number, since it uses less digits than its factorization.

28462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 28462080 is about 5334.9864104794. The cubic root of 28462080 is about 305.3202047880.

The spelling of 28462080 in words is "twenty-eight million, four hundred sixty-two thousand, eighty".