Search a number
-
+
28380000 = 253541143
BaseRepresentation
bin110110001000…
…0101101100000
31222101212001010
41230100231200
524231130000
62452140520
7463140345
oct154205540
958355033
1028380000
1115024350
129607740
135b587cc
143aaa7cc
152758d50
hex1b10b60

28380000 has 240 divisors, whose sum is σ = 103916736. Its totient is φ = 6720000.

The previous prime is 28379993. The next prime is 28380019. The reversal of 28380000 is 8382.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659979 + ... + 660021.

Almost surely, 228380000 is an apocalyptic number.

28380000 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 28380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51958368).

28380000 is an abundant number, since it is smaller than the sum of its proper divisors (75536736).

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

28380000 is a wasteful number, since it uses less digits than its factorization.

28380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 28380000 is about 5327.2882407469. The cubic root of 28380000 is about 305.0264242984.

Adding to 28380000 its reverse (8382), we get a palindrome (28388382).

The spelling of 28380000 in words is "twenty-eight million, three hundred eighty thousand".