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28974700 = 22523741191
BaseRepresentation
bin110111010000…
…1111001101100
32000112001211001
41232201321230
524404142300
62513010044
7501165226
oct156417154
960461731
1028974700
11153a0137
129853924
1360063c1
143bc3416
15282516a
hex1ba1e6c

28974700 has 72 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 10944000.

The previous prime is 28974697. The next prime is 28974709. The reversal of 28974700 is 747982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 28974700.

It is not an unprimeable number, because it can be changed into a prime (28974709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151605 + ... + 151795.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 228974700 is an apocalyptic number.

28974700 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 28974700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

28974700 is an abundant number, since it is smaller than the sum of its proper divisors (37521044).

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

28974700 is a wasteful number, since it uses less digits than its factorization.

28974700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 28974700 is about 5382.8152485479. The cubic root of 28974700 is about 307.1423121884.

The spelling of 28974700 in words is "twenty-eight million, nine hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 191 205 370 382 410 740 764 820 925 955 1025 1517 1850 1910 2050 3034 3700 3820 4100 4775 6068 7067 7585 7831 9550 14134 15170 15662 19100 28268 30340 31324 35335 37925 39155 70670 75850 78310 141340 151700 156620 176675 195775 289747 353350 391550 579494 706700 783100 1158988 1448735 2897470 5794940 7243675 14487350 28974700