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28840464 = 2432375413
BaseRepresentation
bin110111000000…
…1001000010000
32000021020200100
41232001020100
524340343324
62510052400
7500065662
oct156011020
960236610
1028840464
11153092a4
1297aa100
135c8a283
143b8a532
1527ea4c9
hex1b81210

28840464 has 60 divisors (see below), whose sum is σ = 82909996. Its totient is φ = 9351936.

The previous prime is 28840463. The next prime is 28840477. The reversal of 28840464 is 46404882.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 12194064 = 4080^2 + 3492^2 .

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 (28840463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2622 + ... + 8034.

Almost surely, 228840464 is an apocalyptic number.

28840464 is a gapful number since it is divisible by the number (24) 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 28840464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41454998).

28840464 is an abundant number, since it is smaller than the sum of its proper divisors (54069532).

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

28840464 is a wasteful number, since it uses less digits than its factorization.

28840464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28840464 is about 5370.3318333228. The cubic root of 28840464 is about 306.6672610785.

The spelling of 28840464 in words is "twenty-eight million, eight hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 5413 10826 16239 21652 32478 43304 48717 64956 86608 97434 129912 194868 200281 259824 389736 400562 600843 779472 801124 1201686 1602248 1802529 2403372 3204496 3605058 4806744 7210116 9613488 14420232 28840464