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2028628 = 227531367
BaseRepresentation
bin111101111010001010100
310211001202101
413233101110
51004404003
6111251444
723146240
oct7572124
93731671
102028628
111166158
12819b84
13560494
143ab420
152a111d
hex1ef454

2028628 has 24 divisors (see below), whose sum is σ = 4136832. Its totient is φ = 852384.

The previous prime is 2028617. The next prime is 2028629. The reversal of 2028628 is 8268202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2028596 and 2028605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 2167.

It is an arithmetic number, because the mean of its divisors is an integer number (172368).

22028628 is an apocalyptic number.

2028628 is a gapful number since it is divisible by the number (28) 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 2028628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068416).

2028628 is an abundant number, since it is smaller than the sum of its proper divisors (2108204).

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

2028628 is a wasteful number, since it uses less digits than its factorization.

2028628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2028628 is about 1424.2991258861. The cubic root of 2028628 is about 126.5904096250.

The spelling of 2028628 in words is "two million, twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1367 1484 2734 5468 9569 19138 38276 72451 144902 289804 507157 1014314 2028628