Search a number
-
+
28783040 = 26511131737
BaseRepresentation
bin110110111001…
…1000111000000
32000011022220112
41231303013000
524332024130
62504530452
7466436366
oct155630700
960138815
1028783040
111527a140
129780a28
135c6a0b0
143b73636
1527d8495
hex1b731c0

28783040 has 224 divisors, whose sum is σ = 87562944. Its totient is φ = 8847360.

The previous prime is 28783037. The next prime is 28783049. The reversal of 28783040 is 4038782.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 28782988 and 28783006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28783049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777902 + ... + 777938.

It is an arithmetic number, because the mean of its divisors is an integer number (390906).

Almost surely, 228783040 is an apocalyptic number.

28783040 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 28783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

28783040 is an abundant number, since it is smaller than the sum of its proper divisors (58779904).

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

28783040 is a wasteful number, since it uses less digits than its factorization.

28783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 28783040 is about 5364.9827585930. The cubic root of 28783040 is about 306.4635916612.

The spelling of 28783040 in words is "twenty-eight million, seven hundred eighty-three thousand, forty".