9892874628 has 384 divisors, whose sum is σ = 34320384000. Its totient is φ = 2390653440.

The previous prime is 9892874611. The next prime is 9892874633. The reversal of 9892874628 is 8264782989.

9892874628 is a `hidden beast` number, since 9 + 8 + 92 + 87 + 462 + 8 = 666.

It is a super-2 number, since 2×9892874628² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (27869184) is a multiple of the sum of its prime factors (1792).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5787838 + ... + 5789546.

It is an arithmetic number, because the mean of its divisors is an integer number (89376000).

Almost surely, 2^9892874628 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 9892874628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192000).

9892874628 is an abundant number, since it is smaller than the sum of its proper divisors (24427509372).

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

9892874628 is a wasteful number, since it uses less digits than its factorization.

9892874628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 9892874628 is about 99462.9309240382. The cubic root of 9892874628 is about 2146.7139003770.

The spelling of 9892874628 in words is "nine billion, eight hundred ninety-two million, eight hundred seventy-four thousand, six hundred twenty-eight".