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1628432040 = 233517798251
BaseRepresentation
bin110000100001111…
…1110011010101000
311012111011220210210
41201003332122220
511313334311130
6425330541120
755232305164
oct14103763250
94174156723
101628432040
11766231104
123954377a0
131cc4ac171
141163b5ca4
1597e685b0
hex610fe6a8

1628432040 has 64 divisors (see below), whose sum is σ = 5172672960. Its totient is φ = 408704000.

The previous prime is 1628432033. The next prime is 1628432063. The reversal of 1628432040 is 402348261.

1628432040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1628431989 and 1628432007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397086 + ... + 401165.

It is an arithmetic number, because the mean of its divisors is an integer number (80823015).

Almost surely, 21628432040 is an apocalyptic number.

1628432040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628432040 is an abundant number, since it is smaller than the sum of its proper divisors (3544240920).

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

1628432040 is a wasteful number, since it uses less digits than its factorization.

1628432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798282 (or 798278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1628432040 is about 40353.8355054386. The cubic root of 1628432040 is about 1176.4944413066.

The spelling of 1628432040 in words is "one billion, six hundred twenty-eight million, four hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 798251 1596502 2394753 3193004 3991255 4789506 6386008 7982510 9579012 11973765 13570267 15965020 19158024 23947530 27140534 31930040 40710801 47895060 54281068 67851335 81421602 95790120 108562136 135702670 162843204 203554005 271405340 325686408 407108010 542810680 814216020 1628432040