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28378560 = 2635741103
BaseRepresentation
bin110110001000…
…0010111000000
31222101210001210
41230100113000
524231103220
62452130120
7463133220
oct154202700
958353053
1028378560
1115023261
129606940
135b57c62
143aaa080
1527586e0
hex1b105c0

28378560 has 224 divisors, whose sum is σ = 106509312. Its totient is φ = 6266880.

The previous prime is 28378541. The next prime is 28378577. The reversal of 28378560 is 6587382.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275469 + ... + 275571.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 228378560 is an apocalyptic number.

28378560 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 28378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

28378560 is an abundant number, since it is smaller than the sum of its proper divisors (78130752).

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

28378560 is a wasteful number, since it uses less digits than its factorization.

28378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 28378560 is about 5327.1530858424. The cubic root of 28378560 is about 305.0212652019.

The spelling of 28378560 in words is "twenty-eight million, three hundred seventy-eight thousand, five hundred sixty".