863628920 has 192 divisors, whose sum is σ = 2528638560. Its totient is φ = 262348800.

The previous prime is 863628893. The next prime is 863628923. The reversal of 863628920 is 29826368.

It is a super-2 number, since 2×863628920² = 1491709822920732800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863628923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883472 + ... + 884448.

Almost surely, 2^863628920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863628920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264319280).

863628920 is an abundant number, since it is smaller than the sum of its proper divisors (1665009640).

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

863628920 is a wasteful number, since it uses less digits than its factorization.

863628920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 863628920 is about 29387.5640365104. The cubic root of 863628920 is about 952.3042568445.

The spelling of 863628920 in words is "eight hundred sixty-three million, six hundred twenty-eight thousand, nine hundred twenty".