971628000 has 384 divisors, whose sum is σ = 3736212480. Its totient is φ = 216115200.

The previous prime is 971627999. The next prime is 971628001. The reversal of 971628000 is 826179.

It is an interprime number because it is at equal distance from previous prime (971627999) and next prime (971628001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971628001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611866 + ... + 3612134.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^971628000 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 971628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868106240).

971628000 is an abundant number, since it is smaller than the sum of its proper divisors (2764584480).

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

971628000 is a wasteful number, since it uses less digits than its factorization.

971628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 971628000 is about 31170.9480125324. The cubic root of 971628000 is about 990.4517884885.

The spelling of 971628000 in words is "nine hundred seventy-one million, six hundred twenty-eight thousand".