4628671488 has 264 divisors, whose sum is σ = 15405427232. Its totient is φ = 1311178752.

The previous prime is 4628671477. The next prime is 4628671499. The reversal of 4628671488 is 8841768264.

4628671488 is a `hidden beast` number, since 4 + 628 + 6 + 7 + 1 + 4 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4628671477) and next prime (4628671499).

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

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, 10128156 + ... + 10128612.

Almost surely, 2^4628671488 is an apocalyptic number.

4628671488 is a gapful number since it is divisible by the number (48) 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 4628671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702713616).

4628671488 is an abundant number, since it is smaller than the sum of its proper divisors (10776755744).

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

4628671488 is a wasteful number, since it uses less digits than its factorization.

4628671488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 626 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 4628671488 is about 68034.3405053654. The cubic root of 4628671488 is about 1666.5516817384.

The spelling of 4628671488 in words is "four billion, six hundred twenty-eight million, six hundred seventy-one thousand, four hundred eighty-eight".