Search a number
-
+
28628292 = 22371130983
BaseRepresentation
bin110110100110…
…1010101000100
31222212110122010
41231031111010
524312101132
62501334220
7465223260
oct155152504
958773563
1028628292
1115183950
129707370
135c14824
143b330a0
1527a76cc
hex1b4d544

28628292 has 48 divisors (see below), whose sum is σ = 83284992. Its totient is φ = 7435680.

The previous prime is 28628287. The next prime is 28628297. The reversal of 28628292 is 29282682.

It is an interprime number because it is at equal distance from previous prime (28628287) and next prime (28628297).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28628292.

It is not an unprimeable number, because it can be changed into a prime (28628297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14568 + ... + 16415.

It is an arithmetic number, because the mean of its divisors is an integer number (1735104).

Almost surely, 228628292 is an apocalyptic number.

28628292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

28628292 is an abundant number, since it is smaller than the sum of its proper divisors (54656700).

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

28628292 is a wasteful number, since it uses less digits than its factorization.

28628292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31008 (or 31006 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 28628292 is about 5350.5412810294. The cubic root of 28628292 is about 305.9133848578.

It can be divided in two parts, 28628 and 292, that added together give a triangular number (28920 = T240).

The spelling of 28628292 in words is "twenty-eight million, six hundred twenty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 30983 61966 92949 123932 185898 216881 340813 371796 433762 650643 681626 867524 1022439 1301286 1363252 2044878 2385691 2602572 4089756 4771382 7157073 9542764 14314146 28628292