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28972177920 = 2932571710567
BaseRepresentation
bin11010111110111000…
…000101101000000000
32202210010021010112200
4122332320011220000
5433313334143140
621150514153200
72043646310010
oct327670055000
982703233480
1028972177920
11113180480a4
125746882800
13296946635a
14158bb37c40
15b4879e030
hex6bee05a00

28972177920 has 480 divisors, whose sum is σ = 121429870848. Its totient is φ = 6232080384.

The previous prime is 28972177919. The next prime is 28972177933. The reversal of 28972177920 is 2977127982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2736477 + ... + 2747043.

Almost surely, 228972177920 is an apocalyptic number.

28972177920 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 28972177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60714935424).

28972177920 is an abundant number, since it is smaller than the sum of its proper divisors (92457692928).

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

28972177920 is a wasteful number, since it uses less digits than its factorization.

28972177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10601 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 28972177920 in words is "twenty-eight billion, nine hundred seventy-two million, one hundred seventy-seven thousand, nine hundred twenty".