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28948824 = 23321767353
BaseRepresentation
bin110111001101…
…1100101011000
32000110202022200
41232123211120
524402330244
62512250200
7501026622
oct156334530
960422280
1028948824
1115382753
129840960
135cc76a8
143bb7c12
15281c669
hex1b9b958

28948824 has 96 divisors (see below), whose sum is σ = 84492720. Its totient is φ = 8921088.

The previous prime is 28948811. The next prime is 28948849. The reversal of 28948824 is 42884982.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28948824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81832 + ... + 82184.

Almost surely, 228948824 is an apocalyptic number.

28948824 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 28948824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42246360).

28948824 is an abundant number, since it is smaller than the sum of its proper divisors (55543896).

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

28948824 is a wasteful number, since it uses less digits than its factorization.

28948824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 28948824 is about 5380.4111367069. The cubic root of 28948824 is about 307.0508533003.

The spelling of 28948824 in words is "twenty-eight million, nine hundred forty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 67 68 72 102 134 136 153 201 204 268 306 353 402 408 536 603 612 706 804 1059 1139 1206 1224 1412 1608 2118 2278 2412 2824 3177 3417 4236 4556 4824 6001 6354 6834 8472 9112 10251 12002 12708 13668 18003 20502 23651 24004 25416 27336 36006 41004 47302 48008 54009 70953 72012 82008 94604 108018 141906 144024 189208 212859 216036 283812 402067 425718 432072 567624 804134 851436 1206201 1608268 1702872 2412402 3216536 3618603 4824804 7237206 9649608 14474412 28948824